Hans Schoutens

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All published works

Action	Title	Year	Authors
+ PDF Chat	A differential-algebraic criterion for obtaining a small Cohen-Macaulay module	2020	Hans Schoutens
+	A differential-algebraic criterion for obtaining a small maximal Cohen-Macaulay module	2019	Hans Schoutens
+ PDF Chat	Degree Spectra for Transcendence in Fields	2019	I. Sh. Kalimullin Russell Miller Hans Schoutens
+	A differential-algebraic criterion for obtaining a small maximal Cohen-Macaulay module	2019	Hans Schoutens
+ PDF Chat	A COMPUTABLE FUNCTOR FROM GRAPHS TO FIELDS	2018	Russell Miller Bjorn Poonen Hans Schoutens Alexandra Shlapentokh
+	Artin Approximation via the Model Theory of Cohen-Macaulay Rings	2017	Hans Schoutens
+	Ideal theory of infinite directed unions of local quadratic transforms	2016	William Heinzer K. Alan Loper Bruce Olberding Hans Schoutens Matthew Toeniskoetter
+ PDF Chat	Hochster’s small MCM conjecture for three-dimensional weakly F-split rings	2016	Hans Schoutens
+ PDF Chat	The Motivic Igusa Zeta Series of Some Hypersurfaces Non-Degenerated with Respect to their Newton Polyhedron	2016	Hans Schoutens
+	A Computable Functor From Graphs to Fields	2015	Russell Miller Bjorn Poonen Hans Schoutens Alexandra Shlapentokh
+ PDF Chat	POINCARÉ SERIES OF NON-DIVISORIAL VALUATIONS ON TWO-DIMENSIONAL FUNCTION FIELDS	2015	Charles Li Hans Schoutens
+	Poincare Series of Non-divisorial Valuations on Two-dimensional Function Fields	2015	Charles Li Hans Schoutens
+	Ideal theory of infinite directed unions of local quadratic transforms	2015	William Heinzer K. Alan Loper Bruce Olberding Hans Schoutens Matthew Toeniskoetter
+	A Computable Functor From Graphs to Fields	2015	Russell Miller Bjorn Poonen Hans Schoutens Alexandra Shlapentokh
+	The theory of ordinal length	2014	Hans Schoutens
+	Hochster's small MCM conjecture for three-dimensional weakly F-split rings	2014	Hans Schoutens
+	Maximal Cohen-Macaulay modules over local toric rings	2014	Hans Schoutens
+	O-MINIMALISM	2014	Hans Schoutens
+	Maximal Cohen-Macaulay modules over local toric rings	2014	Hans Schoutens
+	Hochster's small MCM conjecture for three-dimensional weakly F-split rings	2014	Hans Schoutens
+	The theory of ordinal length	2013	Hans Schoutens
+	Dimension and singularity theory for local rings of finite embedding dimension	2013	Hans Schoutens
+	Ordinal length and the canonical topology	2013	Hans Schoutens
+ PDF Chat	Computably Categorical Fields via Fermat’s Last Theorem	2013	Russell Miller Hans Schoutens
+	The theory of ordinal length	2013	Hans Schoutens
+	Computably Categorical Fields via Fermat's Last Theorem	2012	Russell Miller Hans Schoutens
+	Semi-addivitity and acyclicity	2012	Hans Schoutens
+	Binary modules and their endomorphisms	2012	Hans Schoutens
+	Computably Categorical Fields via Fermat's Last Theorem	2012	Russell Miller Hans Schoutens
+	Semi-addivitity and acyclicity	2012	Hans Schoutens
+	Classifying singularities up to analytic extensions of scalars is smooth	2011	Hans Schoutens
+	O-minimalism	2011	Hans Schoutens
+	Characteristic p methods in characteristic zero via ultraproducts	2010	Hans Schoutens
+	The yoga of schemic Grothendieck rings, a topos-theoretical approach	2010	Hans Schoutens
+ PDF Chat	Asymptotic Homological Conjectures in Mixed Characteristic	2010	Hans Schoutens
+	Introduction	2010	Hans Schoutens
+	Cataproducts	2010	Hans Schoutens
+	Uniform Bounds	2010	Hans Schoutens
+	Flatness	2010	Hans Schoutens
+	Protoproducts	2010	Hans Schoutens
+	The yoga of schemic Grothendieck rings, a topos-theoretical approach	2010	Hans Schoutens
+	The Use of Ultraproducts in Commutative Algebra	2010	Hans Schoutens
+	Ultraproducts and Łoś’ Theorem	2010	Hans Schoutens
+	Tight Closure in Positive Characteristic	2010	Hans Schoutens
+	Tight Closure in Characteristic Zero. Affine Case	2010	Hans Schoutens
+	Tight Closure in Characteristic Zero. Local Case	2010	Hans Schoutens
+	Schemic Grothendieck rings and motivic rationality	2009	Hans Schoutens
+	Dimension and singularity theory for local rings of finite embedding dimension	2008	Hans Schoutens
+	Dimension and singularity theory for local rings of finite embedding dimension	2008	Hans Schoutens
+ PDF Chat	Lefschetz extensions, tight closure and big Cohen-Macaulay algebras	2007	Matthias Aschenbrenner Hans Schoutens
+	Pure subrings of regular rings are pseudo-rational	2007	Hans Schoutens
+ PDF Chat	Asymptotic homological conjectures in mixed characteristic	2007	Hans Schoutens
+	Bounds in Polynomial Rings over Artinian Local Rings	2007	Hans Schoutens
+	A Local Flatness Criterion for Complete Modules	2006	Hans Schoutens
+	Absolute bounds on the number of generators of Cohen-Macaulay ideals of height two	2006	Hans Schoutens
+	Constructible invariants	2006	Hans Schoutens
+	Classifying singularities up to analytic extensions of scalars	2005	Hans Schoutens
+	Pure subrings of regular rings are pseudo-rational	2005	Hans Schoutens
+	DEFINABILITY, CONSTRUCTIBILITY AND TRANSFER	2005	Hans Schoutens
+	Pure subrings of regular rings are pseudo-rational	2005	Hans Schoutens
+	Classifying singularities up to analytic extensions of scalars	2005	Hans Schoutens
+	Log-terminal singularities and vanishing theorems via non-standard tight closure	2004	Hans Schoutens
+ PDF Chat	Canonical big Cohen-Macaulay algebras and rational singularities	2004	Hans Schoutens
+	The asymptotic behavior of solid closure in mixed characteristic	2004	Hans Schoutens
+	Lefschetz extensions, tight closure, and big Cohen-Macaulay algebras	2004	Matthias Aschenbrenner Hans Schoutens
+ PDF Chat	On the vanishing of Tor of the absolute integral closure	2003	Hans Schoutens
+	Non-standard tight closure for affine ℂ-algebras	2003	Hans Schoutens
+	LEFSCHETZ PRINCIPLE APPLIED TO SYMBOLIC POWERS	2003	Hans Schoutens
+	On the vanishing of Tor of the absolute integral closure	2003	Hans Schoutens
+ PDF Chat	Mixed characteristic homological theorems in low degrees	2003	Hans Schoutens
+	Projective Dimension and the Singular Locus	2003	Hans Schoutens
+	Log-terminal singularities and vanishing theorems	2003	Hans Schoutens
+	Number of generators of a Cohen–Macaulay ideal	2003	Hans Schoutens
+	Absolute bounds on the number of generators of Cohen-Macaulay ideals of height at most 2	2003	Hans Schoutens
+	On the vanishing of Tor of the absolute integral closure	2003	Hans Schoutens
+	Asymptotic homological conjectures in mixed characteristic	2003	Hans Schoutens
+	Computing the minimal number of equations defining an affine curve ideal-theoretically	2002	Hans Schoutens
+	Canonical Big Cohen-Macaulay algebras with applications to singularities	2002	Hans Schoutens
+ PDF Chat	A non-standard proof of the Briançon-Skoda theorem	2002	Hans Schoutens
+	Mixed characteristic homological theorems in low degrees	2002	Hans Schoutens
+	Canonical Big Cohen-Macaulay algebras and rational singularities	2002	Hans Schoutens
+ PDF Chat	Recursive Sequences and Faithfully Flat Extensions	2001	Hans Schoutens
+ PDF Chat	Flattening and Subanalytic Sets in Rigid Analytic Geometry	2001	T. S. Gardener Hans Schoutens
+	Bounds in cohomology	2000	Hans Schoutens
+	Flattening and subanalytic sets in rigid analytic geometry	2000	T. S. Gardener Hans Schoutens
+	Rigid analytic flatificators	1999	Hans Schoutens
+ PDF Chat	Existentially closed models of the theory of artinian local rings	1999	Hans Schoutens
+ PDF Chat	Embedded resolution of singularities in rigid analytic geometry	1999	Hans Schoutens
+	Closure of Rigid Semianalytic Sets	1997	Hans Schoutens
+	Closure of rigid semianalytic sets	1997	Hans Schoutens
+	Rigid analytic flatificators	1997	Hans Schoutens
+	Existentially closed models of the theory of Artinian local rings	1997	Hans Schoutens
+	Flattening and subanalytic sets in rigid analytic geometry	1997	T. S. Gardener Hans Schoutens
+	Closure of rigid semianalytic sets	1997	Hans Schoutens
+	Rigid analytic flatificators	1997	Hans Schoutens
+	Blowing up in rigid analytic geometry	1995	Hans Schoutens
+	Rigid Subanalytic Sets in the Plane	1994	Hans Schoutens
+	Rigid subanalytic sets	1994	Hans Schoutens
+ PDF Chat	Approximation properties for some non-Noetherian local rings	1988	Hans Schoutens

Common Coauthors

Coauthor	Papers Together
Russell Miller	4
Russell Miller	3
T. S. Gardener	3
Alexandra Shlapentokh	3
Bjorn Poonen	3
William Heinzer	2
K. Alan Loper	2
Matthew Toeniskoetter	2
Matthias Aschenbrenner	2
Charles Li	2
Bruce Olberding	2
I. Sh. Kalimullin	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Commutative Ring Theory	1987	H. Matsumura	51
+	Cohen-Macaulay Rings	1998	Winfried Bruns H. Jürgen Herzog	31
+	Bounds in cohomology	2000	Hans Schoutens	19
+	Infinite Integral Extensions and big Cohen--Macaulay Algebras	1992	Melvin Hochster Craig Huneke	18
+ PDF Chat	Commutative algebra with a view toward algebraic geometry	1996	David Eisenbud	18
+	Tight Closure and Its Applications	1996	Craig Huneke	17
+	Bounds in the theory of polynomial rings over fields. A nonstandard approach	1984	Lou van den Dries Kai‐Uwe Schmidt	16
+	Applications of the Existence of Big Cohen-Macaulay Algebras	1995	M. Hochster Craig Huneke	15
+ PDF Chat	Existentially closed models of the theory of artinian local rings	1999	Hans Schoutens	15
+	Ultraproducts and approximation in local rings I	1979	Joseph Becker Jan Denef Leonard Lipshitz Lou van den Dries	14
+ PDF Chat	Canonical big Cohen-Macaulay algebras and rational singularities	2004	Hans Schoutens	14
+	Algorithms and Bounds for Polynomial Rings	1979	Lou van den Dries	14
+	Projective Dimension and the Singular Locus	2003	Hans Schoutens	13
+	LEFSCHETZ PRINCIPLE APPLIED TO SYMBOLIC POWERS	2003	Hans Schoutens	13
+	F-rational rings have rational singularities	1997	Karen E. Smith	13
+ PDF Chat	A characterization of rational singularities in terms of injectivity of Frobenius maps	1998	Nobuo Hara	12
+ PDF Chat	Lefschetz extensions, tight closure and big Cohen-Macaulay algebras	2007	Matthias Aschenbrenner Hans Schoutens	12
+	Tight closure of parameter ideals	1994	Karen E. Smith	11
+	Non-standard tight closure for affine ℂ-algebras	2003	Hans Schoutens	11
+ PDF Chat	A non-standard proof of the Briançon-Skoda theorem	2002	Hans Schoutens	10
+ PDF Chat	Mixed characteristic homological theorems in low degrees	2003	Hans Schoutens	10
+	Non-Archimedean Analysis	1984	Siegfried Bosch Ulrich Güntzer Reinhold Remmert	10
+ PDF Chat	Pseudorational local rings and a theorem of Brian\c con-Skoda about integral closures of ideals.	1981	Joseph Lipman Bernard Teissier	9
+	Rings of invariants of reductive groups acting on regular rings are Cohen-Macaulay	1974	Melvin Hochster Joel Roberts	9
+ PDF Chat	Asymptotic Homological Conjectures in Mixed Characteristic	2010	Hans Schoutens	9
+	Completions, valuations and ultrapowers of Noetherian domains	2004	Bruce Olberding Serpil Saydam Jay Shapiro	9
+	Pure subrings of regular rings are pseudo-rational	2007	Hans Schoutens	9
+	Big Cohen–Macaulay algebras in dimension three via Heitmann's theorem	2002	Melvin Hochster	9
+ PDF Chat	The Cone of Curves of Algebraic Varieties	1984	Yūjirō Kawamata	8
+	Absolute bounds on the number of generators of Cohen-Macaulay ideals of height two	2006	Hans Schoutens	8
+ PDF Chat	Algebraic approximation of structures over complete local rings	1969	Michael Artin	8
+	Log-terminal singularities and vanishing theorems via non-standard tight closure	2004	Hans Schoutens	8
+	Ultraproducts for Algebraists	1977	Paul C. Eklof	8
+ PDF Chat	Cyclic purity versus purity in excellent Noetherian rings	1977	Melvin Hochster	8
+	Homological Questions in Local Algebra	1990	Jan R. Strooker	7
+	Topics in the Homological Theory of Modules over Commutative Rings	1975	Melvin Hochster	7
+ PDF Chat	Ideal membership in polynomial rings over the integers	2004	Matthias Aschenbrenner	7
+ PDF Chat	Asymptotic homological conjectures in mixed characteristic	2007	Hans Schoutens	7
+ PDF Chat	Bounds and definability in polynomial rings	2005	Matthias Aschenbrenner	7
+	Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero: I	1964	Heisuke Hironaka	7
+	Algebraic Geometry	1977	Robin Hartshorne	6
+ PDF Chat	Comparison of symbolic and ordinary powers of ideals	2002	Melvin Hochster Craig Huneke	6
+ PDF Chat	Uniform bounds and symbolic powers on smooth varieties	2001	Lawrence Ein Robert Lazarsfeld Karen E. Smith	6
+	Diophantine Problems Over Local Fields I	1965	James Ax Simon Kochen	6
+	The Use of Ultraproducts in Commutative Algebra	2010	Hans Schoutens	6
+	Classifying singularities up to analytic extensions of scalars is smooth	2011	Hans Schoutens	6
+	Canonical elements in local cohomology modules and the direct summand conjecture	1983	Melvin Hochster	6
+ PDF Chat	Tight closure, invariant theory, and the Briançon-Skoda theorem	1990	Melvin Hochster Craig Huneke	6
+	Model Theoretic Algebra	1976	Gregory Cherlin	6
+	Ultraproducts and approximation in local rings. II	1980	Jan Denef Leonard Lipshitz	6