Edward Bierstone

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All published works

Action	Title	Year	Authors
+ PDF Chat	Monomialization of a quasianalytic morphism	2024	André Belotto da Silva Edward Bierstone
+	Partial desingularization	2022	André Belotto da Silva Edward Bierstone Ramon Ronzon Lavie
+ PDF Chat	<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msup><mml:mrow><mml:mi mathvariant="script">C</mml:mi></mml:mrow><mml:mrow><mml:mi>m</mml:mi></mml:mrow></mml:msup></mml:math> solutions of semialgebraic or definable equations	2021	Edward Bierstone Jean-Baptiste Campesato Pierre D. Milman
+ PDF Chat	Sharp Estimates for Blowing Down Functions in a Denjoy–Carleman Class	2020	André Belotto da Silva Edward Bierstone Avner Kiro
+	Sharp Estimates for Blowing Down Functions in a Denjoy-Carleman Class	2020	André Belotto da Silva Edward Bierstone Avner Kiro
+	Sharp Estimates for Blowing Down Functions in a Denjoy-Carleman Class	2020	André Belotto da Silva Edward Bierstone Avner Kiro
+	Monomialization of a quasianalytic morphism	2019	André Belotto da Silva Edward Bierstone
+ PDF Chat	Global smoothing of a subanalytic set	2018	Edward Bierstone Adam Parusiński
+ PDF Chat	Composite quasianalytic functions	2018	André Belotto da Silva Edward Bierstone Michael Chow
+ PDF Chat	Solutions of quasianalytic equations	2017	André Belotto da Silva Iwo Biborski Edward Bierstone
+ PDF Chat	Malgrange division by quasianalytic functions	2017	Edward Bierstone Pierre D. Milman
+ PDF Chat	Resolution of singularities of the cotangent sheaf of a singular variety	2016	André Belotto da Silva Edward Bierstone Vincent Grandjean Pierre D. Milman
+	Solutions of quasianalytic equations	2016	André Belotto da Silva Iwo Biborski Edward Bierstone
+	Solutions of quasianalytic equations	2016	André Belotto da Silva Iwo Biborski Edward Bierstone
+	Hsiang-Pati coordinates	2015	André Belotto da Silva Edward Bierstone Vincent Grandjean Pierre D. Milman
+	Resolution of singularities of the cotangent sheaf of a singular variety	2015	André Belotto da Silva Edward Bierstone Vincent Grandjean Pierre D. Milman
+ PDF Chat	Arc-quasianalytic functions	2015	Edward Bierstone Pierre D. Milman Guillaume Valette
+ PDF Chat	Desingularization preserving stable simple normal crossings	2015	Edward Bierstone Franklin Vera Pacheco
+	Resolution of singularities of the cotangent sheaf of a singular variety	2015	André Belotto da Silva Edward Bierstone Vincent Grandjean Pierre D. Milman
+ PDF Chat	Desingularization by blowings-up avoiding simple normal crossings	2014	Edward Bierstone Sérgio Da Silva Pierre D. Milman Franklin Vera Pacheco
+	Arc-quasianalytic functions	2014	Edward Bierstone Pierre D. Milman Guillaume Valette
+	Arc-quasianalytic functions	2014	Edward Bierstone Pierre D. Milman G Valette
+	Desingularization preserving stable simple normal crossings	2013	Edward Bierstone Franklin Vera Pacheco
+ PDF Chat	Geometric Auslander criterion for openness of an algebraic morphism	2013	Janusz Adamus Edward Bierstone Pierre D. Milman
+ PDF Chat	Geometric Auslander criterion for flatness	2013	Janusz Adamus Edward Bierstone Pierre D. Milman
+	Desingularization preserving stable simple normal crossings	2013	Edward Bierstone Franklin Vera Pacheco
+	Erratum to “Resolution except for minimal singularities I” [Adv. Math. 231 (2012) 3022–3053]	2012	Edward Bierstone Pierre D. Milman
+	Resolution except for minimal singularities I	2012	Edward Bierstone Pierre D. Milman
+	Resolution except for minimal singularities II. The case of four variables	2012	Edward Bierstone Pierre Lairez Pierre D. Milman
+ PDF Chat	Resolution of singularities of pairs preserving semi-simple normal crossings	2012	Edward Bierstone Franklin Vera Pacheco
+	Desingularization by blowings-up avoiding simple normal crossings	2012	Edward Bierstone Sérgio Da Silva Pierre D. Milman Franklin Vera Pacheco
+ PDF Chat	An inductive analytic criterion for flatness	2012	Janusz Adamus Edward Bierstone Pierre D. Milman
+	Effective Hironaka resolution and its Complexity (with appendix on applications in positive characteristic)	2012	Edward Bierstone Dima Grigoriev Pierre D. Milman Jarosław Włodarczyk
+	Desingularization by blowings-up avoiding simple normal crossings	2012	Edward Bierstone Sérgio Da Silva Pierre D. Milman Franklin Vera Pacheco
+	Resolution of singularities of pairs preserving semi-simple normal crossings	2011	Edward Bierstone Franklin Vera Pacheco
+	Resolution except for minimal singularities II. The case of four variables	2011	Edward Bierstone Pierre Lairez Pierre D. Milman
+	Resolution except for minimal singularities I	2011	Edward Bierstone Pierre D. Milman
+	An inductive analytic criterion for flatness	2011	Janusz Adamus Edward Bierstone Pierre D. Milman
+ PDF Chat	Effective Hironaka resolution and its complexity	2011	Edward Bierstone Dima Grigoriev Pierre D. Milman Jarosław Włodarczyk
+ PDF Chat	$Q$-universal desingularization	2011	Edward Bierstone Pierre D. Milman Michael Temkin
+	An inductive analytic criterion for flatness	2011	Janusz Adamus Edward Bierstone Pierre D. Milman
+	Resolution except for minimal singularities I	2011	Edward Bierstone Pierre D. Milman
+	Resolution except for minimal singularities II. The case of four variables	2011	Edward Bierstone Pierre Lairez Pierre D. Milman
+	Resolution of singularities of pairs preserving semi-simple normal crossings	2011	Edward Bierstone Franklin Vera Pacheco
+	Effective criterion for openness of an algebraic morphism	2010	Janusz Adamus Edward Bierstone Pierre D. Milman
+	GEOMETRIC AUSLANDER CRITERION FOR FLATNESS OF AN ANALYTIC MAPPING	2009	Janusz Adamus Edward Bierstone Pierre D. Milman
+	Geometric Auslander criterion for flatness	2009	Janusz Adamus Edward Bierstone Pierre D. Milman
+	Q-universal desingularization	2009	Edward Bierstone Pierre D. Milman Michael Temkin
+	Geometric Auslander criterion for flatness	2009	Janusz Adamus Edward Bierstone Pierre D. Milman
+ PDF Chat	Uniform Linear Bound in Chevalley’s Lemma	2008	Janusz Adamus Edward Bierstone Pierre D. Milman
+ PDF Chat	Functoriality in Resolution of Singularities	2008	Edward Bierstone Pierre D. Milman
+ PDF Chat	Uniform Linear Bound in Chevalley's Lemma	2008	Janusz Adamus Edward Bierstone Pierre D. Milman
+	Cm-norms on finite sets and Cm extension criteria	2007	Edward Bierstone Pierre D. Milman
+	Functoriality in resolution of singularities	2007	Edward Bierstone Pierre D. Milman
+ PDF Chat	Higher-order tangents and Fefferman’s paper on Whitney’s extension problem	2006	Edward Bierstone Pierre D. Milman Wiesław Pawłucki
+	Desingularization of toric and binomial varieties	2006	Edward Bierstone Pierre D. Milman
+ PDF Chat	Examples concerning Whitney’s $C^m$ extension problem	2006	Edward Bierstone Charles Fefferman Pierre D. Milman Wiesław Pawłucki
+	Uniform linear bound in Chevalley's lemma	2005	Janusz Adamus Edward Bierstone Pierre D. Milman
+ PDF Chat	Resolution of singularities in Denjoy-Carleman classes	2004	Edward Bierstone Pierre D. Milman
+	Desingularization of toric and binomial varieties	2004	Edward Bierstone Pierre D. Milman
+	Control of radii of convergence and extension of subanalytic functions	2003	Edward Bierstone
+ PDF Chat	Differentiable functions defined in closed sets. A problem of Whitney	2003	Edward Bierstone Pierre D. Milman Wiesław Pawłucki
+ PDF Chat	Desingularization Algorithms I. Role of Exceptional Divisors	2003	Edward Bierstone Pierre D. Milman
+	Desingularization algorithms I. Role of exceptional divisors	2002	Edward Bierstone Pierre D. Milman
+	Control of radii of convergence and extension of subanalytic functions	2001	Edward Bierstone
+	Differentiable functions defined in closed sets. A problem of Whitney	2001	Edward Bierstone Pierre D. Milman Wiesław Pawłucki
+	Resolution of singularities in Denjoy-Carleman classes	2001	Edward Bierstone Pierre D. Milman
+	Standard basis along a Samuel stratum, and implicit differentiation	1999	Edward Bierstone Pierre D. Milman
+	Resolution of Singularities	1999	Edward Bierstone Pierre D. Milman
+ PDF Chat	Geometric and Differential Properties of Subanalytic Sets	1998	Edward Bierstone Pierre D. Milman
+	Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant	1997	Edward Bierstone
+	Resolution of Singularities	1997	Edward Bierstone Pierre D. Milman
+ PDF Chat	Composite differentiable functions	1996	Edward Bierstone Pierre D. Milman Wiesław Pawłucki
+	Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant	1995	Edward Bierstone Pierre D. Milman
+	Composite Differentiable Functions	1995	Edward Bierstone Pierre D. Milman Wiesław Pawłucki
+ PDF Chat	A Function which is Arc-Analytic but not Continuous	1991	Edward Bierstone Pierre D. Milman Adam Parusiński
+	Flatness in analytic mappings I. On an announcement of Hironaka	1991	Edward Bierstone Pierre D. Milman
+	A simple constructive proof of Canonical Resolution of Singularities	1991	Edward Bierstone Pierre D. Milman
+ PDF Chat	A function which is arc-analytic but not continuous	1991	Edward Bierstone Pierre D. Milman Adam Parusiński
+ PDF Chat	Geometric and differential properties of subanalytic sets	1991	Edward Bierstone Pierre D. Milman
+	Arc-analytic functions	1990	Edward Bierstone Pierre D. Milman
+	Local resolution of singularities	1990	Edward Bierstone Pierre D. Milman
+ PDF Chat	Uniformization of analytic spaces	1989	Edward Bierstone Pierre D. Milman
+ PDF Chat	Semianalytic and subanalytic sets	1988	Edward Bierstone Pierre D. Milman
+	Semianalytic and subanalytic sets . The deformation theory of representations of fundamental groups of compact Kähler manifolds . Canonical models of surfaces of general type in positive characteristic . Cuspidal local systems and graded Hecke algebras, I	1988	Edward Bierstone Pierre D. Milman William M. Goldman John J. Millson Torsten Ekedahl G. Lusztig
+ PDF Chat	Local analytic invariants	1988	Edward Bierstone Pierre D. Milman
+	Local analytic invariants and splitting theorems in differential analysis	1987	Edward Bierstone Pierre D. Milman
+ PDF Chat	Ideals of Holomorphic Functions with C ∞ Boundary Values on a Pseudoconvex Domain	1987	Edward Bierstone Pierre D. Milman
+ PDF Chat	Ideals of holomorphic functions with 𝐶^{∞} boundary values on a pseudoconvex domain	1987	Edward Bierstone Pierre D. Milman
+ PDF Chat	Relations among analytic functions. I	1987	Edward Bierstone Pierre D. Milman
+ PDF Chat	Relations among analytic functions. II	1987	Edward Bierstone Pierre D. Milman
+	Continuous linear division and extension of 𝒞∞ functions	1983	Edward Bierstone Gerald W. Schwarz
+ PDF Chat	The Newton diagram of an analytic morphism, and applications to differentiable functions	1983	Edward Bierstone Pierre D. Milman
+	Algebras of composite differentiable functions	1983	Edward Bierstone Pierre D. Milman
+ PDF Chat	Composite Differentiable Functions	1982	Edward Bierstone Pierre D. Milman
+	Differentiable functions	1980	Edward Bierstone
+	The structure of orbit spaces and the singularities equivariant mappings	1980	Edward Bierstone
+ PDF Chat	General Position of Equivariant Maps	1977	Edward Bierstone
+ PDF Chat	General position of equivariant maps	1977	Edward Bierstone
+	Generic Equivariant Maps	1977	Edward Bierstone
+ PDF Chat	Local properties of smooth maps equivariant with respect to finite group actions	1975	Edward Bierstone
+	Equivariant Gromov theory	1974	Edward Bierstone
+ PDF Chat	The equivariant covering homotopy property for differentiable $G$-fibre bundles	1973	Edward Bierstone
+ PDF Chat	An equivariant version of Gromov’s theorem	1973	Edward Bierstone

Common Coauthors

Coauthor	Papers Together
Pierre D. Milman	74
André Belotto da Silva	14
Janusz Adamus	12
Franklin Vera Pacheco	9
Wiesław Pawłucki	5
Vincent Grandjean	4
Pierre Lairez	3
Iwo Biborski	3
Adam Parusiński	3
Sérgio Da Silva	3
Avner Kiro	3
Guillaume Valette	2
Dima Grigoriev	2
Michael Temkin	2
Jarosław Włodarczyk	2
Charles Fefferman	1
Gerald W. Schwarz	1
William M. Goldman	1
Jean-Baptiste Campesato	1
G. Lusztig	1
Ramon Ronzon Lavie	1
John J. Millson	1
Michael Chow	1
Wiesław Pawłucki	1
G Valette	1
Torsten Ekedahl	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant	1997	Edward Bierstone	35
+	Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero: I	1964	Heisuke Hironaka	28
+ PDF Chat	Semianalytic and subanalytic sets	1988	Edward Bierstone Pierre D. Milman	24
+ PDF Chat	Uniformization of analytic spaces	1989	Edward Bierstone Pierre D. Milman	20
+ PDF Chat	Functoriality in Resolution of Singularities	2008	Edward Bierstone Pierre D. Milman	19
+ PDF Chat	Relations among analytic functions. I	1987	Edward Bierstone Pierre D. Milman	14
+ PDF Chat	Quasianalytic Denjoy-Carleman classes and o-minimality	2003	Jean-Philippe Rolin Patrick Speissegger A. J. Wilkie	12
+ PDF Chat	Composite Differentiable Functions	1982	Edward Bierstone Pierre D. Milman	11
+	Smooth functions invariant under the action of a compact lie group	1975	Gerald W. Schwarz	11
+ PDF Chat	Resolution of singularities in Denjoy-Carleman classes	2004	Edward Bierstone Pierre D. Milman	10
+ PDF Chat	Commutative algebra with a view toward algebraic geometry	1996	David Eisenbud	10
+	Introduction to the theory of infinitely near singular points	1974	平祐広中	10
+	Ideals of differentiable functions	1966	Bernard Malgrange	10
+	Arc-analytic functions	1990	Edward Bierstone Pierre D. Milman	9
+ PDF Chat	Infinite differentiability in polynomially bounded o-minimal structures	1995	Chris Miller	8
+ PDF Chat	Good points and constructive resolution of singluarities	1998	Santiago Encinas Orlando E. Villamayor	8
+	The Malgrange-Mather division theorem	1977	Pierre D. Milman	8
+	Good points of a hypersurface	1988	Shreeram S. Abhyankar	7
+ PDF Chat	On quasianalytic local rings	2007	Vincent Thilliez	7
+ PDF Chat	Desingularization Algorithms I. Role of Exceptional Divisors	2003	Edward Bierstone Pierre D. Milman	7
+ PDF Chat	Weierstrass Division in Quasianalytic Local Rings	1976	C. L. Childress	7
+	FORMAL RELATIONS BETWEEN ANALYTIC FUNCTIONS	1973	Andrei Gabrielov	7
+ PDF Chat	Arc-quasianalytic functions	2015	Edward Bierstone Pierre D. Milman Guillaume Valette	6
+	A simple constructive proof of Canonical Resolution of Singularities	1991	Edward Bierstone Pierre D. Milman	6
+	Points de platitude d'un morphisme d'espaces analytiques complexes	1967	J. Frisch	6
+	Lectures on resolution of singularities	2007	Janós Kollár	6
+	Simple Hironaka resolution in characteristic zero	2005	Jarosław Włodarczyk	6
+	Idéaux de fonctions différentiables	1972	Jean Claude Tougeron	6
+	Semi log resolution	2008	Janós Kollár	6
+ PDF Chat	Geometric and Differential Properties of Subanalytic Sets	1998	Edward Bierstone Pierre D. Milman	6
+	Continuous linear division and extension of 𝒞∞ functions	1983	Edward Bierstone Gerald W. Schwarz	6
+	On the Characteristic Functions of a Local Ring	1970	Bruce M. Bennett	6
+ PDF Chat	Lower bounds for quasianalytic functions, I. How to control smooth functions	2004	Fëdor Nazarov Mikhail Sodin Alexander Volberg	6
+ PDF Chat	An extension of whitney’s spectral theorem	1971	J. -Cl. Tougeron	5
+	On Gabrielov’s regularity condition for analytic mappings	1992	Wiesław Pawłucki	5
+	The Analysis of Linear Partial Differential Operators I	2003	Lars Hörmander	5
+	Flatness and Fibred Powers over Smooth Varieties	2000	André Galligo Michał Kwieciński	5
+ PDF Chat	Idéaux de fonctions différentiables. II	1970	Jean-Claude Tougeron Jean Merrien	5
+	Differentiable invariants	1977	John N. Mather	5
+	The analysis of linear partial differential operators	1990	Lars Hörmander	5
+ PDF Chat	Quantifier elimination in quasianalytic structures via non-standard analysis	2015	Krzysztof Jan Nowak	5
+ PDF Chat	Introduction to the Theory of Analytic Spaces	1966	Raghavan Narasimhan	5
+	Vertical components in fibre powers of analytic spaces	2003	Janusz Adamus	5
+	On the Theory of Local Rings	1943	Claude Chevalley	5
+	Differentiable even functions	1943	Hassler Whitney	5
+	Resolution except for minimal singularities I	2012	Edward Bierstone Pierre D. Milman	5
+	Subspaces and Quotient Spaces of (s)	1977	Dietmar Vogt	5
+ PDF Chat	Algebraic approximation of structures over complete local rings	1969	Michael Artin	5
+	Equivariant differential topology	1969	Arthur Wasserman	5
+ PDF Chat	Pathological Phenomena in Denjoy–Carleman Classes	2015	Ethan Y. Jaffe	5