Jacek Bochnak

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All published works

Action	Title	Year	Authors
+	Algebraic versions of Hartogs' theorem	2023	Marcin Bilski Jacek Bochnak Wojciech Kucharz
+ PDF Chat	Hartogs-type theorems in real algebraic geometry, II	2023	Marcin Bilski Jacek Bochnak Wojciech Kucharz
+ PDF Chat	Rational approximation of holomorphic maps	2022	Jacek Bochnak Wojciech Kucharz
+ PDF Chat	Hartogs-type theorems in real algebraic geometry, I	2022	Marcin Bilski Jacek Bochnak Wojciech Kucharz
+ PDF Chat	On approximation of maps into real algebraic homogeneous spaces	2022	Jacek Bochnak Wojciech Kucharz Janós Kollár
+	Hartogs-type theorems in real algebraic geometry, I	2022	Marcin Bilski Jacek Bochnak Wojciech Kucharz
+ PDF Chat	Algebraic surfaces determine analyticity of functions	2021	Jacek Bochnak Wojciech Kucharz
+	On approximation of maps into real algebraic homogeneous spaces	2020	Jacek Bochnak Wojciech Kucharz
+	Rational approximation of holomorphic maps	2020	Jacek Bochnak Wojciech Kucharz
+	Criteria for Algebraicity of Analytic Functions	2019	Jacek Bochnak Janusz Gwoździewicz Wojciech Kucharz
+	Checking real analyticity on surfaces	2019	Jacek Bochnak Janós Kollár Wojciech Kucharz
+ PDF Chat	Global variants of Hartogs’ theorem	2019	Jacek Bochnak Wojciech Kucharz
+	Checking real analyticity on surfaces.	2018	Jacek Bochnak Janós Kollár Wojciech Kucharz
+ PDF Chat	A characterization of analytic functions of several real variables	2018	Jacek Bochnak Józef Sičiak
+	Checking real analyticity on surfaces	2018	Jacek Bochnak Janós Kollár Wojciech Kucharz
+	Real algebraic geometry	2014	Jacek Bochnak Michel Coste Marie-Françoise Roy
+	ALGEBRAIC APPROXIMATION OF SMOOTH MAPS	2011	Jacek Bochnak Wojciech Kucharz
+	Algebraic approxination of smooth maps	2010	Jacek Bochnak Wojciech Kucharz
+	Almost-universal quadratic forms: An effective solution of a problem of Ramanujan	2009	Jacek Bochnak Byeong-Kweon Oh
+ PDF Chat	Almost regular quaternary quadratic forms	2008	Jacek Bochnak Byeong-Kweon Oh
+	Real algebraic morphisms represent few homotopy classes	2006	Jacek Bochnak Wojciech Kucharz
+ PDF Chat	Vector bundles on a product of real algebraic curves	2005	Jacek Bochnak Wojciech Kucharz
+	On successive minima of indefinite quadratic forms	2005	Jacek Bochnak Wojciech Kucharz
+	Analytic cycles on real analytic manifolds	2004	Jacek Bochnak Wojciech Kucharz
+	On integral solutions of quadratic inequalities	2004	Jacek Bochnak T. H. Jackson
+ PDF Chat	On approximation of smooth submanifolds by nonsingular real algebraic subvarieties1	2003	Jacek Bochnak Wojciech Kucharz
+ PDF Chat	Approximation of holomorphic maps by algebraic morphisms	2003	Jacek Bochnak Wojciech Kucharz
+	A topological proof of the Grothendieck formula in real algebraic geometry	2002	Jacek Bochnak Wojciech Kucharz
+	Complexification of Real Algebraic Varieties and Vanishing of Homology Classes	2001	Jacek Bochnak Wojciech Kucharz
+ PDF Chat	Morphisms, line bundles and moduli spaces in real algebraic geometry	2000	Jacek Bochnak Wojciech Kucharz Robert Silhol
+	Line bundles, regular mappings and the underlying real algebraic structure of complex algebraic varieties	2000	Jacek Bochnak Wojciech Kucharz
+	Erratum to : Morphisms, line bundles and moduli spaces in real algebraic geometry	2000	Jacek Bochnak Wojciech Kucharz Robert Silhol
+ PDF Chat	Smooth Maps and Real Algebraic Morphisms	1999	Jacek Bochnak Wojciech Kucharz
+	The Weierstrass approximation theorem for maps between real algebraic varieties	1999	Jacek Bochnak Wojciech Kucharz
+	The Weierstrass approximation theorem and a characterization of the unit circle	1999	Jacek Bochnak Wojciech Kucharz
+	On dividing real algebraic varieties	1998	Jacek Bochnak Wojciech Kucharz
+	Polynomial or Regular Mappings with Values in Spheres	1998	Jacek Bochnak Michel Coste Marie-Françoise Roy
+	Topology of Real Algebraic Varieties	1998	Jacek Bochnak Michel Coste Marie-Françoise Roy
+	Ordered Fields, Real Closed Fields	1998	Jacek Bochnak Michel Coste Marie-Françoise Roy
+	Witt Rings in Real Algebraic Geometry	1998	Jacek Bochnak Michel Coste Marie-Françoise Roy
+	The Tarski-Seidenberg Principle as a Transfer Tool	1998	Jacek Bochnak Michel Coste Marie-Françoise Roy
+	Real Algebra	1998	Jacek Bochnak Michel Coste Marie-Françoise Roy
+	Morphisms, line bundles and moduli spaces in real algebraic geometry . Complete intersection dimension . Rigidity of quasi-isometries for symmetric spaces and euclidean buildings . La R-équivalence sur les groupes algébriques réductifs définis sur un corps global	1998	Jacek Bochnak Wojciech Kucharz Robert Silhol Luchézar L. Avramov Vesselin Gasharov Irena Peeva Bruce Kleiner Bernhard Leeb Philippe Gille
+	Algebraic Vector Bundles	1998	Jacek Bochnak Michel Coste Marie-Françoise Roy
+	Hilbert’s 17th Problem. Quadratic Forms in Real Algebraic Geometry	1998	Jacek Bochnak Michel Coste Marie-Françoise Roy
+ PDF Chat	On homology classes represented by real algebraic varieties	1998	Jacek Bochnak Wojciech Kucharz
+	Algebraic Models of C ∞ Manifolds	1998	Jacek Bochnak Michel Coste Marie-Françoise Roy
+ PDF Chat	Morphisms, line bundles and moduli spaces in real algebraic geometry	1997	Jacek Bochnak Wojciech Kucharz Robert Silhol
+ PDF Chat	Equivalence of analytic and rational functions	1997	Jacek Bochnak M Büchner Wojciech Kucharz
+	A characterization of dividing real algebraic curves	1996	Jacek Bochnak Wojciech Kucharz
+	Real algebraic hypersurfaces in complex projective varieties	1995	Jacek Bochnak Wojciech Kucharz
+	Encyclopaedia of Mathematics	1995	Michiel Hazewinkel J Adamst Sergio Albeverio J Alblas S. A. Amitsur I Bakelman Joep Bakker Claude Bardos Harm Bart Hyman Bass
+	Encyclopaedia of Mathematics	1995	Michiel Hazewinkel J Adamst Sergio Albeverio J Alblas S. A. Amitsur I Bakelman Joep Bakker Claude Bardos Harm Bart Hyman Bass
+	Encyclopaedia of Mathematics	1994	Michiel Hazewinkel Sergio Albeverio J Alblas S. A. Amitsur I Bakelman G.C.M. Bakker Joep Bakker Claude Bardos Harm Bart Hyman Bass
+	The Homotopy Groups of Some Spaces of Real Algebraic Morphisms	1993	Jacek Bochnak Wojciech Kucharz
+ PDF Chat	Algebraic cycles and approximation theorems in real algebraic geometry	1993	Jacek Bochnak Wojciech Kucharz
+	Encyclopaedia of Mathematics	1993	Michiel Hazewinkel Sergio Albeverio J Alblas S. A. Amitsur Bakelman Otto Jan Bakker J. Bakker Claude Bardos Harm Bart Hyman Bass
+	When is a complex elliptic curve the product of two real algebraic curves?	1992	Jacek Bochnak Johannes Huisman
+	Vector bundles on a product of real cubic curves	1992	Jacek Bochnak Wojciech Kucharz
+ PDF Chat	Complex cycles on real algebraic models of a smooth manifold	1992	Jacek Bochnak Wojciech Kucharz
+	Encyclopaedia of Mathematics	1992	Michiel Hazewinkel Sergio Albeverio J Alblas S. A. Amitsur Bakelman G.C.M. Bakker J. Bakker Claude Bardos Harm Bart Hyman Bass
+	Nonisomorphic algebraic models of a smooth manifold	1991	Jacek Bochnak Wojciech Kucharz
+ PDF Chat	Elliptic curves and real algebraic morphisms into the 2-sphere	1991	Jacek Bochnak Wojciech Kucharz
+ PDF Chat	On polynomial mappings into spheres	1990	Jacek Bochnak Wojciech Kucharz
+	On vector bundles and real algebraic morphisms	1990	Jacek Bochnak Wojciech Kucharz
+	Encyclopaedia of Mathematics	1990	Michiel Hazewinkel Sergio Albeverio J Alblas S. A. Amitsur I Bakelman G.C.M. Bakker Joep Bakker Claude Bardos Harm Bart Hyman Bass
+	<i>K</i>-theory of real algebraic surfaces and threefolds	1989	Jacek Bochnak Wojciech Kucharz
+	Algebraic models of smooth manifolds	1989	Jacek Bochnak Wojciech Kucharz
+	Vector bundles over real algebraic varieties	1989	Jacek Bochnak M Büchner Wojciech Kucharz
+ PDF Chat	On real algebraic models of smooth manifolds	1989	Jacek Bochnak Wojciech Kucharz
+	On Real Algebraic Morphisms Into Even-Dimensional Spheres	1988	Jacek Bochnak Wojciech Kucharz
+	Realization of homotopy classes by algebraic mappings.	1987	Wojciech Kucharz Jacek Bochnak
+	Real Algebraic Surfaces as Complete Intersections	1987	Jacek Bochnak Wojciech Kucharz
+ PDF Chat	Examples of Factorial Rings in Algebraic Geometry	1987	Jacek Bochnak Wojciech Kucharz
+ PDF Chat	Nonisomorphic algebraic structures on smooth manifolds	1987	Jacek Bochnak Wojciech Kucharz
+ PDF Chat	Algebraic approximation of mappings into spheres.	1987	Jacek Bochnak Wojciech Kucharz
+	Encyclopaedia of Mathematics	1987	Michiel Hazewinkel James Truslow Adams Sergio Albeverio J Alblas S. A. Amitsur I Bakelman J. Bakker Claude Bardos Harm Bart Michel Bercovier
+	Géométrie algébrique réelle	1987	Jacek Bochnak Michel Coste M-F Roy
+ PDF Chat	Algebraicity versus analyticity	1984	Jacek Bochnak
+	On algebraicity of global real analytic sets and functions	1982	Jacek Bochnak Wojciech Kucharz Masahiro Shiota
+	The divisor class groups of some rings of global real analytic, Nash or rational regular functions	1982	Jacek Bochnak Wojciech Kucharz Masahiro Shiota
+	An introduction to Nash functions	1982	Jacek Bochnak Gustave Efroymson
+	On equivalence of ideals of real global analytic functions and the 17th Hilbert problem	1981	Jacek Bochnak Wojciech Kucharz Masahiro Shiota
+	Real algebraic geometry and the 17th Hilbert problem	1980	Jacek Bochnak Gustave Efroymson
+	Sur Les Germes D'Applications Differentiables a Singularites Isolees	1979	Jacek Bochnak Wojciech Kucharz
+ PDF Chat	Sur les germes d’applications differentiables à singularités isolées	1979	Jacek Bochnak Wojciech Kucharz
+	Sur Le 17eme Probleme de Hilbert Pour Les Fonctions de Nash	1978	Jacek Bochnak
+	Sur le 17ème problème de Hilbert pour les fonctions de Nash	1978	Jacek Bochnak
+ PDF Chat	Sur le 17ème problème de Hilbert pour les fonctions de Nash	1978	Jacek Bochnak
+	Sur la factorialité des anneaux de fonctions de Nash	1977	Jacek Bochnak
+	Sur la divisibilite des fonctions differentiables	1976	Jacek Bochnak Jean-Jacques Risler
+	Analyse differentielle et geometrie analytique	1976	Jacek Bochnak Jean-Jacques Risler
+	Sur les exposants de Lojasiewicz	1975	Jacek Bochnak Jean-Jacques Risler
+	Sur les ensembles analytiques � singularit�s donn�es a priori	1975	Jacek Bochnak
+ PDF Chat	Le théorème des zéros pour les variétés analytiques réelles de dimension $2$	1975	Jacek Bochnak Julia Risler
+	Quelques propriétés quantitatives des ensembles semi-algébriques	1975	Jacek Bochnak
+	Sur le theoreme des zeros de Hilbert “differentiable”	1973	Jacek Bochnak
+ PDF Chat	Rigid and Finitely <i>V</i>-Determined Germs of C<sup>∞</sup>-Mappings	1973	Jacek Bochnak Tzee-Char Kuo
+	Remarks on finitely determined analytic germs	1971	Jacek Bochnak Stanisław Łojasiewicz
+ PDF Chat	Analytic functions in Banach spaces	1970	Jacek Bochnak

Common Coauthors

Coauthor	Papers Together
Wojciech Kucharz	60
Marie-Françoise Roy	10
Michel Coste	10
Martin Lenz	7
Jan Wiegerinck	7
Ruth Geer	7
M Curtain	7
Sergio Albeverio	7
H Bos	7
V Gill	7
A Primrose	7
R Fliess	7
Albrecht Beutelspacher	7
Michel Bercovier	7
Harm Bart	7
Eric Bergshoeff	7
Bridget Wills	7
F Tabak	7
J Alblas	7
Nico H.J. Pijls	7
Claude Bardos	7
Frits Beukers	7
H. W. Lenstra	7
L Strömberg	7
Jan C. Willems	7
J. Steenbrink	7
C A Ramm	7
Marie L. De Bruin	7
W Hermans	7
T Snaith	7
Michiel Hazewinkel	7
Frank de Vries	7
Johannes A. Lenstra	7
J De Graaf	7
Pierre Cartier	7
H Boas	7
B Krop	7
Emanuele Isidori	7
S. A. Amitsur	7
Leonard D. Berkovitz	6
H.W. Capel	6
A Isbell	6
G Dellacherie	6
William W. Eaton	6
D De Jager	6
G Neunzert	6
I Parthasarathy	6
G Engl	6
Casper G. Schalkwijk	6
Peter Johnson	6

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Algebraic models of smooth manifolds	1989	Jacek Bochnak Wojciech Kucharz	15
+ PDF Chat	La classe d'homologie fondamentale d'un espace analytique	1961	Armand Borel André Haefliger	15
+	Géométrie algébrique réelle	1987	Jacek Bochnak Michel Coste M-F Roy	14
+	Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero: I	1964	Heisuke Hironaka	13
+	On Real Algebraic Morphisms Into Even-Dimensional Spheres	1988	Jacek Bochnak Wojciech Kucharz	12
+ PDF Chat	Algebraic approximation of mappings into spheres.	1987	Jacek Bochnak Wojciech Kucharz	11
+	Real algebraic vector bundles	1980	Riccardo Benedetti Alberto Tognoli	11
+	Vector bundles over real algebraic varieties	1989	Jacek Bochnak M Büchner Wojciech Kucharz	11
+	Remarks and counterexamples in the theory of real algebraic vector bundles and cycles	1982	Riccardo Benedetti Alberto Tognoli	10
+ PDF Chat	Topological examples of projective modules	1977	Richard G. Swan	9
+	Approximation of smooth manifolds by real algebraic sets	1982	Nikolai V. Ivanov	9
+ PDF Chat	Idéaux de fonctions différentiables. II	1970	Jean-Claude Tougeron Jean Merrien	8
+ PDF Chat	Real Algebraic Realization of Characteristic Classes	1982	Masahiro Shiota	8
+ PDF Chat	Vector bundles and projective modules	1962	Richard G. Swan	8
+	Differential Topology	1976	Morris W. Hirsch	8
+	Real Algebraic Geometry	1998	Frédéric Mangolte Jean-Philippe Rolin Kurdyka Krzysztof Saugata Basu Victoria Powers	7
+ PDF Chat	Le théorème des zéros pour les variétés analytiques réelles de dimension $2$	1975	Jacek Bochnak Julia Risler	7
+ PDF Chat	Idéaux et fonctions différentiables. I	1968	Jean-Claude Tougeron	7
+ PDF Chat	A relative Nash theorem	1981	Selman Akbulut Henry C. King	7
+	Real algebraic geometry	2014	Jacek Bochnak Michel Coste Marie-Françoise Roy	7
+	The Topology of Real Algebraic Sets with Isolated Singularities	1981	Selman Akbulut Henry C. King	7
+ PDF Chat	Substitution in Nash functions	1976	Gustave Efroymson	6
+	Quelques propriétés globales des variétés différentiables	1954	René Thom	6
+	Some properties of the ring of Nash functions	1976	Tadeusz Mostowski	6
+ PDF Chat	A Nullstellensatz for Nash rings	1974	Gustave Efroymson	6
+	Faisceaux Algebriques Coherents	1955	Jean-Pierre Serre	6
+	Intersection Theory	1984	William Fulton	6
+	Real algebraic geometry and the 17th Hilbert problem	1980	Jacek Bochnak Gustave Efroymson	5
+	ALGEBRAIC HOMOLOGY CLASSES ON ALGEBRAIC VARIETIES	1967	B G Moĭšezon	5
+	Submanifolds and Homology of Nonsingular Real Algebraic Varieties	1985	Selman Akbulut Henry King	5
+	<i>K</i>-theory of real algebraic surfaces and threefolds	1989	Jacek Bochnak Wojciech Kucharz	5
+	Algebraic approximation of manifolds and spaces	2006	Alberto Tognoli	5
+	Real Algebraic Surfaces	1989	Robert Silhol	5
+	On algebraicity of global real analytic sets and functions	1982	Jacek Bochnak Wojciech Kucharz Masahiro Shiota	4
+	On homology of real algebraic sets	1985	Wojciech Kucharz	4
+ PDF Chat	Real Algebraic Surfaces	1989	Robert Silhol	4
+	Real Algebraic Manifolds	1952	John C. Nash	4
+	Hilbert’s seventeenth problem and related problems on definite forms	1976	Albrecht Pfister	4
+ PDF Chat	Equivalence of differentiable mappings and analytic mappings	1981	Masahiro Shiota	4
+	Checking real analyticity on surfaces	2019	Jacek Bochnak Janós Kollár Wojciech Kucharz	4
+	The underlying real algebraic structure of complex elliptic curves	1992	Johannes Huisman	4
+	Algebraic Geometry	1977	Robin Hartshorne	4
+	Basic Algebraic Geometry 2	1994	Igor R. Shafarevich	4
+ PDF Chat	Real algebraic curves	1981	Benedict H. Gross Joe Harris	4
+	On equivalence of ideals of real global analytic functions and the 17th Hilbert problem	1981	Jacek Bochnak Wojciech Kucharz Masahiro Shiota	4
+	Vector bundles over spheres are algebraic	1969	Robert M. Fossum	4
+ PDF Chat	Several Complex Variables	1976	H. Grauert Klaus Fritzsche	4
+	Sur la factorialité des anneaux de fonctions de Nash	1977	Jacek Bochnak	4
+	Decision procedures for real and <i>p</i>‐adic fields	1969	Paul J. Cohen	4
+	Nonisomorphic algebraic models of a smooth manifold	1991	Jacek Bochnak Wojciech Kucharz	4