Real algebraic geometry. Transl. from the French.
Rev. and updated ed. Zbl 0912.14023
Bochnak, Jacek; Coste, Michel; Roy, Marie-Françoise |
|
1998
|
Géométrie algébrique réelle. (Real algebraic geometry). Zbl 0633.14016
Bochnak, J.; Coste, M.; Roy, M.-F. |
|
1987
|
Analytic functions in topological vector spaces. Zbl 0214.37703
Bochnak, Jacek; Siciak, Jósef |
|
1971
|
Polynomials and multilinear mappings in topological vector spaces. Zbl 0214.37702
Bochnak, Jacek; Siciak, Jósef |
|
1971
|
Sur les exposants de Lojasiewicz. Zbl 0321.32006
Bochnak, J.; Risler, J. J. |
|
1975
|
Vector bundles over real algebraic varieties. Zbl 0761.14020
Bochnak, J.; Buchner, M.; Kucharz, W. |
|
1989
|
Algebraic models of smooth manifolds. Zbl 0687.14023
Bochnak, Jacek; Kucharz, Wojciech |
|
1989
|
On real algebraic morphisms into even-dimensional spheres. Zbl 0674.14013
Bochnak, J.; Kucharz, W. |
|
1988
|
Algebraic approximation of mappings into spheres. Zbl 0631.14019
Bochnak, J.; Kucharz, Wojciech |
|
1987
|
Analytic functions in Banach spaces. Zbl 0199.18402
Bochnak, Jacek |
|
1970
|
Realization of homotopy classes by algebraic mappings. Zbl 0619.14014
Bochnak, J.; Kucharz, W. |
|
1987
|
A converse of the Kuiper-Kuo theorem. Zbl 0221.58002
Bochnak, Jacek; Łojasiewicz, Stanisław |
|
1971
|
On homology classes represented by real algebraic varieties. Zbl 0915.14033
Bochnak, Jacek; Kucharz, Wojciech |
|
1998
|
Morphisms, line bundles and moduli spaces in real algebraic geometry. Zbl 0938.14033
Bochnak, Jacek; Kucharz, Wojcieh; Silhol, Robert |
|
1997
|
Elliptic curves and real algebraic morphisms. Zbl 0807.14046
Bochnak, J.; Kucharz, W. |
|
1993
|
Le théorème des zéros pour les variétés analytiques réelles de dimension 2. Zbl 0315.14008
Bochnak, J.; Risler, J.-J. |
|
1975
|
On equivalence of ideals of real global analytic functions and the 17th Hilbert problem. Zbl 0467.32003
Bochnak, Jacek; Kucharz, Wojciech; Shiota, Masahiro |
|
1981
|
K-theory of real algebraic surfaces and threefolds. Zbl 0707.14006
Bochnak, J.; Kucharz, W. |
|
1989
|
A characterization of analytic functions of several real variables. Zbl 1439.32004
Bochnak, Jacek; Siciak, Józef |
|
2019
|
Complete intersections in differential topology and analytic geometry. Zbl 0904.57013
Bochnak, Jacek; Kucharz, Wojciech |
|
1996
|
The Weierstrass approximation theorem for maps between real algebraic varieties. Zbl 0945.14032
Bochnak, Jacek; Kucharz, Wojcieh |
|
1999
|
Nonisomorphic algebraic models of a smooth manifold. Zbl 0714.14012
Bochnak, J.; Kucharz, W. |
|
1991
|
Local algebraicity of analytic sets. Zbl 0558.32002
Bochnak, Jacek; Kucharz, Wojciech |
|
1984
|
Real algebraic morphisms represent few homotopy classes. Zbl 1154.14042
Bochnak, J.; Kucharz, W. |
|
2007
|
Real algebraic geometry and the 17th Hilbert problem. Zbl 0425.14004
Bochnak, J.; Efroymson, G. A. |
|
1980
|
Sur les germes d’applications différentiables à singularites isolees. Zbl 0458.58006
Bochnak, Jacek; Kucharz, Wojciech |
|
1979
|
On approximation of smooth submanifolds by nonsingular real algebraic subvarieties. Zbl 1063.14073
Bochnak, Jacek; Kucharz, Wojciech |
|
2003
|
Almost-universal quadratic forms: an effective solution of a problem of Ramanujan. Zbl 1242.11028
Bochnak, J.; Oh, B.-K. |
|
2009
|
Algebraic cycles and approximation theorems in real algebraic geometry. Zbl 0809.57015
Bochnak, J.; Kucharz, W. |
|
1993
|
Vector bundles on a product of real cubic curves. Zbl 0782.14014
Bochnak, J.; Kucharz, W. |
|
1992
|
Sur le théorème des zéros de Hilbert ’différentiable’. Zbl 0282.58003
Bochnak, Jacek |
|
1973
|
On algebraicity of global real analytic sets and functions. Zbl 0502.32021
Bochnak, J.; Kucharz, W.; Shiota, M. |
|
1982
|
The divisor class groups of some rings of global real analytic, Nash or rational regular functions. Zbl 0519.14019
Bochnak, Jacek; Kucharz, Wojciech; Shiota, Masahiro |
|
1982
|
Checking real analyticity on surfaces. Zbl 1436.32028
Bochnak, Jacek; Kollár, János; Kucharz, Wojciech |
|
2020
|
Approximation of holomorphic maps by algebraic morphisms. Zbl 1028.32007
Bochnak, J.; Kucharz, W. |
|
2003
|
Sur la factorialite des anneaux de fonctions analytiques. Zbl 0299.32001
Bochnak, Jacek |
|
1974
|
Algebraic approximation of smooth maps. Zbl 1246.14073
Bochnak, Jacek; Kucharz, Wojciech |
|
2010
|
On vector bundles and real algebraic morphisms. Zbl 0761.14021
Bochnak, J.; Kucharz, W. |
|
1990
|
The homotopy groups of some spaces of real algebraic morphisms. Zbl 0799.57015
Bochnak, J.; Kucharz, W. |
|
1993
|
On approximation of maps into real algebraic homogeneous spaces. Zbl 1489.14079
Bochnak, Jacek; Kucharz, Wojciech; Kollár, János |
|
2022
|
Criteria for algebraicity of analytic functions. Zbl 1467.32004
Bochnak, Jacek; Gwoździewicz, Janusz; Kucharz, Wojciech |
|
2021
|
Real algebraic hypersurfaces in complex projective varieties. Zbl 0813.14044
Bochnak, J.; Kucharz, W. |
|
1995
|
The Weierstrass approximation theorem and a characterization of the unit circle. Zbl 0912.14024
Bochnak, Jacek; Kucharz, Wojcieh |
|
1999
|
Line bundles, regular mappings and the underlying real algebraic structure of complex algebraic varieties. Zbl 0986.14041
Bochnak, J.; Kucharz, W. |
|
2000
|
Complex cycles on real algebraic models of a smooth manifold. Zbl 0760.57011
Bochnak, J.; Kucharz, W. |
|
1992
|
Relevement des jets. Zbl 0251.58002
Bochnak, J. |
|
1972
|
Algebraicity versus analyticity. Zbl 0568.32005
Bochnak, Jacek |
|
1984
|
On dividing real algebraic varieties. Zbl 0908.14022
Bochnak, Jacek; Kucharz, Wojcieh |
|
1998
|
Hartogs-type theorems in real algebraic geometry. I. Zbl 1497.14116
Bilski, Marcin; Bochnak, Jacek; Kucharz, Wojciech |
|
2022
|
Different realizations of a non sufficient jet. Zbl 0225.58001
Bochnak, Jacek; Kuo Tzee-Char |
|
1972
|
Fonctions analytiques dans les espaces vectoriels topologiques réels ou complexes. Zbl 0189.42701
Bochnak, J.; Siciak, J. |
|
1970
|
Almost regular quaternary quadratic forms. Zbl 1162.11020
Bochnak, Jacek; Oh, Byeong-Kweon |
|
2008
|
Sharpening a theorem of forelli. Zbl 1441.32001
Bochnak, Jacek; Kucharz, Wojciech |
|
2019
|
A characterization of dividing real algebraic curves. Zbl 0868.14032
Bochnak, Jacek; Kucharz, Wojciech |
|
1996
|
Smooth maps and real algebraic morphisms. Zbl 0955.14043
Bochnak, Jacek; Kucharz, Wojcieh |
|
1999
|
An introduction to Nash functions. Zbl 0516.14019
Bochnak, J.; Efroymson, Gustave |
|
1982
|
Polynomial mappings from products of algebraic sets into spheres. Zbl 0721.14029
Bochnak, J.; Kucharz, W. |
|
1991
|
When is a complex elliptic curve the product of two real algebraic curves? Zbl 0734.14018
Bochnak, J.; Huisman, J. |
|
1992
|
Analyse différentielle et géométrie analytique. Zbl 0366.58002
Bochnak, Jacek; Risler, Jean-Jacques |
|
1976
|
Sur la factorialite des anneaux de fonctions de Nash. Zbl 0369.14003
Bochnak, Jacek |
|
1977
|
Sur le 17eme problème de Hilbert pour les fonctions de Nash. Zbl 0424.14006
Bochnak, Jacek |
|
1978
|
Jets suffisants et germes de détermination finie. Zbl 0204.56802
Bochnak, J. |
|
1970
|
Remarks on finitely determined analytic germs. Zbl 0224.32006
Bochnak, Jacek; Łojasiewicz, Stanisław |
|
1971
|
Global variants of Hartogs’ theorem. Zbl 1472.32002
Bochnak, Jacek; Kucharz, Wojciech |
|
2019
|
Vector bundles on a product of real algebraic curves. Zbl 1069.14060
Bochnak, J.; Kucharz, W. |
|
2005
|
On polynomial mappings into spheres. Zbl 0762.14030
Bochnak, J.; Kucharz, W. |
|
1990
|
Elliptic curves and real algebraic morphisms into the 2-sphere. Zbl 0763.14026
Bochnak, J.; Kucharz, W. |
|
1991
|
Algebraic surfaces determine analyticity of functions. Zbl 1482.14058
Bochnak, Jacek; Kucharz, Wojciech |
|
2022
|
Analytic cycles on real analytic manifolds. Zbl 1067.32008
Bochnak, J.; Kucharz, W. |
|
2004
|
A topological proof of the Grothendieck formula in real algebraic geometry. Zbl 1076.14080
Bochnak, J.; Kucharz, W. |
|
2002
|
Rigid and finitely V-determined germs of C\(^\infty\)-mappings. Zbl 0266.58003
Bochnak, Jacek; Kuo, Tzee-Char |
|
1973
|
Sur les ensembles analytiques à singularites donnes à priori. Zbl 0294.32005
Bochnak, Jacek |
|
1975
|
Sur la divisibilite des fonctions différentiables ou analytiques réelles. Zbl 0334.46039
Bochnak, Jacek; Risler, Jean-Jacques |
|
1975
|
Real algebraic surfaces as complete intersections. Zbl 0634.14032
Bochnak, J.; Kucharz, W. |
|
1987
|
Nonisomorphic algebraic structures on smooth manifolds. Zbl 0637.14015
Bochnak, J.; Kucharz, W. |
|
1987
|
Remarks on domains of holomorphy in topological vector spaces. Zbl 0205.41101
Bochnak, J.; Siciak, J. |
|
1971
|
On approximation of maps into real algebraic homogeneous spaces. Zbl 1489.14079
Bochnak, Jacek; Kucharz, Wojciech; Kollár, János |
|
2022
|
Hartogs-type theorems in real algebraic geometry. I. Zbl 1497.14116
Bilski, Marcin; Bochnak, Jacek; Kucharz, Wojciech |
|
2022
|
Algebraic surfaces determine analyticity of functions. Zbl 1482.14058
Bochnak, Jacek; Kucharz, Wojciech |
|
2022
|
Criteria for algebraicity of analytic functions. Zbl 1467.32004
Bochnak, Jacek; Gwoździewicz, Janusz; Kucharz, Wojciech |
|
2021
|
Checking real analyticity on surfaces. Zbl 1436.32028
Bochnak, Jacek; Kollár, János; Kucharz, Wojciech |
|
2020
|
A characterization of analytic functions of several real variables. Zbl 1439.32004
Bochnak, Jacek; Siciak, Józef |
|
2019
|
Sharpening a theorem of forelli. Zbl 1441.32001
Bochnak, Jacek; Kucharz, Wojciech |
|
2019
|
Global variants of Hartogs’ theorem. Zbl 1472.32002
Bochnak, Jacek; Kucharz, Wojciech |
|
2019
|
Algebraic approximation of smooth maps. Zbl 1246.14073
Bochnak, Jacek; Kucharz, Wojciech |
|
2010
|
Almost-universal quadratic forms: an effective solution of a problem of Ramanujan. Zbl 1242.11028
Bochnak, J.; Oh, B.-K. |
|
2009
|
Almost regular quaternary quadratic forms. Zbl 1162.11020
Bochnak, Jacek; Oh, Byeong-Kweon |
|
2008
|
Real algebraic morphisms represent few homotopy classes. Zbl 1154.14042
Bochnak, J.; Kucharz, W. |
|
2007
|
Vector bundles on a product of real algebraic curves. Zbl 1069.14060
Bochnak, J.; Kucharz, W. |
|
2005
|
Analytic cycles on real analytic manifolds. Zbl 1067.32008
Bochnak, J.; Kucharz, W. |
|
2004
|
On approximation of smooth submanifolds by nonsingular real algebraic subvarieties. Zbl 1063.14073
Bochnak, Jacek; Kucharz, Wojciech |
|
2003
|
Approximation of holomorphic maps by algebraic morphisms. Zbl 1028.32007
Bochnak, J.; Kucharz, W. |
|
2003
|
A topological proof of the Grothendieck formula in real algebraic geometry. Zbl 1076.14080
Bochnak, J.; Kucharz, W. |
|
2002
|
Line bundles, regular mappings and the underlying real algebraic structure of complex algebraic varieties. Zbl 0986.14041
Bochnak, J.; Kucharz, W. |
|
2000
|
The Weierstrass approximation theorem for maps between real algebraic varieties. Zbl 0945.14032
Bochnak, Jacek; Kucharz, Wojcieh |
|
1999
|
The Weierstrass approximation theorem and a characterization of the unit circle. Zbl 0912.14024
Bochnak, Jacek; Kucharz, Wojcieh |
|
1999
|
Smooth maps and real algebraic morphisms. Zbl 0955.14043
Bochnak, Jacek; Kucharz, Wojcieh |
|
1999
|
Real algebraic geometry. Transl. from the French.
Rev. and updated ed. Zbl 0912.14023
Bochnak, Jacek; Coste, Michel; Roy, Marie-Françoise |
|
1998
|
On homology classes represented by real algebraic varieties. Zbl 0915.14033
Bochnak, Jacek; Kucharz, Wojciech |
|
1998
|
On dividing real algebraic varieties. Zbl 0908.14022
Bochnak, Jacek; Kucharz, Wojcieh |
|
1998
|
Morphisms, line bundles and moduli spaces in real algebraic geometry. Zbl 0938.14033
Bochnak, Jacek; Kucharz, Wojcieh; Silhol, Robert |
|
1997
|
Complete intersections in differential topology and analytic geometry. Zbl 0904.57013
Bochnak, Jacek; Kucharz, Wojciech |
|
1996
|
A characterization of dividing real algebraic curves. Zbl 0868.14032
Bochnak, Jacek; Kucharz, Wojciech |
|
1996
|
Real algebraic hypersurfaces in complex projective varieties. Zbl 0813.14044
Bochnak, J.; Kucharz, W. |
|
1995
|
Elliptic curves and real algebraic morphisms. Zbl 0807.14046
Bochnak, J.; Kucharz, W. |
|
1993
|
Algebraic cycles and approximation theorems in real algebraic geometry. Zbl 0809.57015
Bochnak, J.; Kucharz, W. |
|
1993
|
The homotopy groups of some spaces of real algebraic morphisms. Zbl 0799.57015
Bochnak, J.; Kucharz, W. |
|
1993
|
Vector bundles on a product of real cubic curves. Zbl 0782.14014
Bochnak, J.; Kucharz, W. |
|
1992
|
Complex cycles on real algebraic models of a smooth manifold. Zbl 0760.57011
Bochnak, J.; Kucharz, W. |
|
1992
|
When is a complex elliptic curve the product of two real algebraic curves? Zbl 0734.14018
Bochnak, J.; Huisman, J. |
|
1992
|
Nonisomorphic algebraic models of a smooth manifold. Zbl 0714.14012
Bochnak, J.; Kucharz, W. |
|
1991
|
Polynomial mappings from products of algebraic sets into spheres. Zbl 0721.14029
Bochnak, J.; Kucharz, W. |
|
1991
|
Elliptic curves and real algebraic morphisms into the 2-sphere. Zbl 0763.14026
Bochnak, J.; Kucharz, W. |
|
1991
|
On vector bundles and real algebraic morphisms. Zbl 0761.14021
Bochnak, J.; Kucharz, W. |
|
1990
|
On polynomial mappings into spheres. Zbl 0762.14030
Bochnak, J.; Kucharz, W. |
|
1990
|
Vector bundles over real algebraic varieties. Zbl 0761.14020
Bochnak, J.; Buchner, M.; Kucharz, W. |
|
1989
|
Algebraic models of smooth manifolds. Zbl 0687.14023
Bochnak, Jacek; Kucharz, Wojciech |
|
1989
|
K-theory of real algebraic surfaces and threefolds. Zbl 0707.14006
Bochnak, J.; Kucharz, W. |
|
1989
|
On real algebraic morphisms into even-dimensional spheres. Zbl 0674.14013
Bochnak, J.; Kucharz, W. |
|
1988
|
Géométrie algébrique réelle. (Real algebraic geometry). Zbl 0633.14016
Bochnak, J.; Coste, M.; Roy, M.-F. |
|
1987
|
Algebraic approximation of mappings into spheres. Zbl 0631.14019
Bochnak, J.; Kucharz, Wojciech |
|
1987
|
Realization of homotopy classes by algebraic mappings. Zbl 0619.14014
Bochnak, J.; Kucharz, W. |
|
1987
|
Real algebraic surfaces as complete intersections. Zbl 0634.14032
Bochnak, J.; Kucharz, W. |
|
1987
|
Nonisomorphic algebraic structures on smooth manifolds. Zbl 0637.14015
Bochnak, J.; Kucharz, W. |
|
1987
|
Local algebraicity of analytic sets. Zbl 0558.32002
Bochnak, Jacek; Kucharz, Wojciech |
|
1984
|
Algebraicity versus analyticity. Zbl 0568.32005
Bochnak, Jacek |
|
1984
|
On algebraicity of global real analytic sets and functions. Zbl 0502.32021
Bochnak, J.; Kucharz, W.; Shiota, M. |
|
1982
|
The divisor class groups of some rings of global real analytic, Nash or rational regular functions. Zbl 0519.14019
Bochnak, Jacek; Kucharz, Wojciech; Shiota, Masahiro |
|
1982
|
An introduction to Nash functions. Zbl 0516.14019
Bochnak, J.; Efroymson, Gustave |
|
1982
|
On equivalence of ideals of real global analytic functions and the 17th Hilbert problem. Zbl 0467.32003
Bochnak, Jacek; Kucharz, Wojciech; Shiota, Masahiro |
|
1981
|
Real algebraic geometry and the 17th Hilbert problem. Zbl 0425.14004
Bochnak, J.; Efroymson, G. A. |
|
1980
|
Sur les germes d’applications différentiables à singularites isolees. Zbl 0458.58006
Bochnak, Jacek; Kucharz, Wojciech |
|
1979
|
Sur le 17eme problème de Hilbert pour les fonctions de Nash. Zbl 0424.14006
Bochnak, Jacek |
|
1978
|
Sur la factorialite des anneaux de fonctions de Nash. Zbl 0369.14003
Bochnak, Jacek |
|
1977
|
Analyse différentielle et géométrie analytique. Zbl 0366.58002
Bochnak, Jacek; Risler, Jean-Jacques |
|
1976
|
Sur les exposants de Lojasiewicz. Zbl 0321.32006
Bochnak, J.; Risler, J. J. |
|
1975
|
Le théorème des zéros pour les variétés analytiques réelles de dimension 2. Zbl 0315.14008
Bochnak, J.; Risler, J.-J. |
|
1975
|
Sur les ensembles analytiques à singularites donnes à priori. Zbl 0294.32005
Bochnak, Jacek |
|
1975
|
Sur la divisibilite des fonctions différentiables ou analytiques réelles. Zbl 0334.46039
Bochnak, Jacek; Risler, Jean-Jacques |
|
1975
|
Sur la factorialite des anneaux de fonctions analytiques. Zbl 0299.32001
Bochnak, Jacek |
|
1974
|
Sur le théorème des zéros de Hilbert ’différentiable’. Zbl 0282.58003
Bochnak, Jacek |
|
1973
|
Rigid and finitely V-determined germs of C\(^\infty\)-mappings. Zbl 0266.58003
Bochnak, Jacek; Kuo, Tzee-Char |
|
1973
|
Relevement des jets. Zbl 0251.58002
Bochnak, J. |
|
1972
|
Different realizations of a non sufficient jet. Zbl 0225.58001
Bochnak, Jacek; Kuo Tzee-Char |
|
1972
|
Analytic functions in topological vector spaces. Zbl 0214.37703
Bochnak, Jacek; Siciak, Jósef |
|
1971
|
Polynomials and multilinear mappings in topological vector spaces. Zbl 0214.37702
Bochnak, Jacek; Siciak, Jósef |
|
1971
|
A converse of the Kuiper-Kuo theorem. Zbl 0221.58002
Bochnak, Jacek; Łojasiewicz, Stanisław |
|
1971
|
Remarks on finitely determined analytic germs. Zbl 0224.32006
Bochnak, Jacek; Łojasiewicz, Stanisław |
|
1971
|
Remarks on domains of holomorphy in topological vector spaces. Zbl 0205.41101
Bochnak, J.; Siciak, J. |
|
1971
|
Analytic functions in Banach spaces. Zbl 0199.18402
Bochnak, Jacek |
|
1970
|
Fonctions analytiques dans les espaces vectoriels topologiques réels ou complexes. Zbl 0189.42701
Bochnak, J.; Siciak, J. |
|
1970
|
Jets suffisants et germes de détermination finie. Zbl 0204.56802
Bochnak, J. |
|
1970
|