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## Abhyankar, Shreeram Shankar

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 Author ID: abhyankar.shreeram-shankar Published as: Abhyankar, Shreeram S.; Abhyankar, S. S.; Abhyankar, Shreeram Shankar; Abhyankar, Shreeram; Abhyankar, S. External Links: MGP · Wikidata · dblp · GND · MacTutor
 Documents Indexed: 187 Publications since 1951, including 13 Books Biographic References: 6 Publications
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#### Co-Authors

 118 single-authored 11 Heinzer, William J. 5 Moh, Tzuong-Tsieng 4 Bajaj, Chanderjit L. 4 Joshi, Sanjeevani B. 4 Sathaye, Avinash 3 Assi, Abdallah 3 Inglis, Nicholas F. J. 3 Kulkarni, Devadatta M. 3 Loomis, Paul A. 3 Yie, Ikkwon 2 Artal Bartolo, Enrique 2 Chandrasekar, Srinivasan 2 Chandru, Vijaya 2 Luengo, Ignacio 2 Popp, Herbert 2 Seiler, Wolfgang K. 2 Sundaram, Ganapathy S. 2 van der Put, Marius 1 Chern, Shiing-Shen 1 Christensen, Chris 1 Cohen, Stephen D. 1 Eakin, Paul M. jun. 1 Feit, Walter 1 Fireman, Nicholas J. 1 Fried, Michael David 1 Ghorpade, Sudhir R. 1 Gu, Nan 1 Igusa, Jun-ichi 1 Ihara, Yasutaka 1 Keskar, Pradipkumar H. 1 Kravitz, Ben 1 Kumar, Manish 1 Lang, Serge 1 Li, Wei 1 Morin, Thomas L. 1 Moses, Nathan C. 1 Ou, Jun 1 Risk, C. 1 Rubel, Lee Albert 1 Singh, Balwant 1 Trafalis, Theodore B. 1 Völklein, Helmut 1 Wiegand, Sylvia M. 1 Wilson, W. Stephen 1 Yalcin, Umud D. 1 Zariski, Oscar 1 Zieve, Michael E.
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#### Serials

 24 Proceedings of the American Mathematical Society 17 American Journal of Mathematics 10 Journal of Algebra 8 Discrete Mathematics 7 Mathematische Annalen 7 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 6 Transactions of the American Mathematical Society 4 Journal für die Reine und Angewandte Mathematik 2 American Mathematical Monthly 2 Advances in Mathematics 2 Publications Mathématiques 2 The Journal of the Indian Mathematical Society. New Series 2 The Mathematics Student 2 ACM Transactions on Graphics 2 CAD. Computer-Aided Design 2 Proceedings of the National Academy of Sciences of the United States of America 2 Bulletin of the American Mathematical Society. New Series 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Notices of the American Mathematical Society 2 Finite Fields and their Applications 2 Revista Matemática Complutense 2 Annals of Mathematics. Second Series 2 Lecture Notes in Mathematics 1 Discrete Applied Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Israel Journal of Mathematics 1 Mathematics Magazine 1 The Mathematical Intelligencer 1 Acta Mathematica Vietnamica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Bulletin of the Calcutta Mathematical Society 1 Duke Mathematical Journal 1 Journal of Pure and Applied Algebra 1 Journal of Statistical Planning and Inference 1 Le Matematiche 1 Rendiconti del Seminario Matematico 1 Computer Aided Geometric Design 1 Revista Matemática Iberoamericana 1 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 1 Historia Mathematica 1 Linear Algebra and its Applications 1 Nieuw Archief voor Wiskunde. Derde Serie 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Memoirs of the College of Science, University of Kyoto, Series A 1 Annals of Mathematics Studies 1 Contemporary Mathematics 1 Lectures on Mathematics and Physics. Mathematics. Tata Institute of Fundamental Research 1 Mathematical Surveys and Monographs 1 Pure and Applied Mathematics, Marcel Dekker 1 Wiadomości Matematyczne 1 Springer Monographs in Mathematics
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#### Fields

 111 Algebraic geometry (14-XX) 50 Field theory and polynomials (12-XX) 42 Commutative algebra (13-XX) 25 Group theory and generalizations (20-XX) 10 History and biography (01-XX) 10 Several complex variables and analytic spaces (32-XX) 8 Combinatorics (05-XX) 8 Number theory (11-XX) 6 General and overarching topics; collections (00-XX) 6 Geometry (51-XX) 4 Numerical analysis (65-XX) 4 Computer science (68-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Differential geometry (53-XX) 1 Convex and discrete geometry (52-XX) 1 Operations research, mathematical programming (90-XX)

#### Citations contained in zbMATH Open

149 Publications have been cited 1,977 times in 1,114 Documents Cited by Year
Embeddings of the line in the plane. Zbl 0332.14004
Abhyankar, Shreeram S.; Moh, Tzuong-tsieng
1975
On the valuations centered in a local domain. Zbl 0074.26301
Abhyankar, Shreeram
1956
On the uniqueness of the coefficient ring in a polynomial ring. Zbl 0255.13008
Abhyankar, Shreeram S.; Heinzer, William; Eakin, Paul
1972
Local rings of high embedding dimension. Zbl 0159.33202
Abhyankar, S. S.
1967
Resolution of singularities of embedded algebraic surfaces. Zbl 0147.20504
Abhyankar, S. S.
1966
Algebraic geometry for scientists and engineers. Zbl 0709.14001
Abhyankar, Shreeram S.
1990
Local uniformization on algebraic surfaces over ground fields of characteristic $$p\neq 0$$. Zbl 0108.16803
Abhyankar, S. S.
1956
Ramification theoretic methods in algebraic geometry. Zbl 0101.38201
Abhyankar, S. S.
1959
Local analytic geometry. Zbl 0205.50401
Abhyankar, Shreeram Shankar
1964
On the ramification of algebraic functions. Zbl 0064.27501
Abhyankar, Shreeram
1955
Newton-Puiseux expansion and generalized Tschirnhausen transformation. I. II. Zbl 0272.12102
Abhyankar, Shreeram S.; Moh, Tzuong-tsieng
1973
Galois theory on the line in nonzero characteristic. Zbl 0760.12002
Abhyankar, Shreeram S.
1992
Coverings of algebraic curves. Zbl 0087.03603
Abhyankar, Shreeram
1957
Lectures on expansion techniques in algebraic geometry. With notes by Balwant Singh. Zbl 0818.14001
Abhyankar, Shreeram Shankar
1977
Resolution of singularities of embedded algebraic surfaces. 2nd, enl. ed. Zbl 0914.14006
Abhyankar, S. S.
1998
Automatic parameterization of rational curves and surfaces. III: Algebraic plane curves. Zbl 0655.65019
Abhyankar, Shreeram S.; Bajaj, Chanderjit L.
1988
Enumerative combinatorics of Young tableaux. Zbl 0643.05001
Abhyankar, Shreeram S.
1988
Historical ramblings in algebraic geometry and related algebra. Zbl 0339.14001
Abhyankar, Shreeram S.
1976
Nice equations for nice groups. Zbl 0828.14014
Abhyankar, Shreeram S.
1994
Desingularization of plane curves. Zbl 0521.14005
Abhyankar, Shreeram S.
1983
Tame coverings and fundamental groups of algebraic varieties. I: Branch loci with normal crossings; applications: Theorems of Zariski and Picard. II: Branch curves with higher singularities. III: Some other sets of conditions for the fundamental group to be abelian. IV: Product theorems. V: Three cuspidal plane quartics. VI: Plane curves of order at most four. Zbl 0100.16401
Abhyankar, Shreeram
1960
Two notes on formal power series. Zbl 0073.02601
Abhyankar, Shreeram
1956
Projective polynomials. Zbl 0912.12004
Abhyankar, Shreeram S.
1997
Lectures on algebra. Vol. 1. Zbl 1121.13001
Abhyankar, S. S.
2006
Good points of a hypersurface. Zbl 0657.14008
Abhyankar, Shreeram S.
1988
Concepts of order and rank on a complex space, and a condition for normality. Zbl 0107.15001
Abhyankar, S. S.
1960
Resolution of singularities of arithmetical surfaces. Zbl 0147.20503
Abhyankar, S. S.
1965
Automatic parameterization of rational curves and surfaces. IV: Algebraic space curves. Zbl 0746.68104
Abhyankar, Shreeram S.; Bajaj, Chanderjit L.
1989
Irreducibility criterion for germs of analytic functions of two complex variables. Zbl 0683.14001
Abhyankar, Shreeram S.
1989
Simultaneous resolution for algebraic surfaces. Zbl 0073.37902
Abhyankar, Shreeram
1956
On the ramification of algebraic functions. II: Unaffected equations for characteristic two. Zbl 0093.04501
Abhyankar, Shreeram
1959
A remark on the nonnormal locus of an analytic space. Zbl 0146.17202
Abhyankar, S. S.
1964
Homomorphisms of analytic local rings. Zbl 0193.00501
Abhyankar, Shreeram Shankar; van der Put, Marius
1970
Dicritical divisors and Jacobian problem. Zbl 1197.14061
Abhyankar, Shreeram S.
2010
Automatic parameterization of rational curves and surfaces. I: Conics and conicoids. Zbl 0655.65017
Abhyankar, Shreeram S.; Bajaj, Chanderjit
1987
Automatic parametrization of rational curves and surfaces. II: Cubics and cubicoids. Zbl 0655.65018
Abhyankar, Shreeram S.; Bajaj, Chanderjit
1987
Resolution of singularities and modular Galois theory. Zbl 0999.12003
Abhyankar, Shreeram S.
2001
Uniformization of Jungian local domains. Zbl 0127.01702
Abhyankar, S. S.
1965
Algebraic theory of dicritical divisors. Zbl 1232.13012
Abhyankar, Shreeram S.; Luengo, Ignacio
2011
On the semigroup of a meromorphic curve. I. Zbl 0408.14010
Abhyankar, Shreeram S.
1977
Quasirational singularities. Zbl 0425.14009
Abhyankar, Shreeram S.
1979
Combinatoire des tableaux de Young, variétés determinantielles et calcul de fonctions de Hilbert. (Combinatoric of Young tableaux, determinantal varieties and calculus of Hilbert functions). (Rédigé par A. Galligo). Zbl 0614.14017
Abhyankar, S.
1984
Inversion and invariance of characteristic pairs. Zbl 0162.34103
Abhyankar, Shreeram Shankar
1967
Existence of dicritical divisors. Zbl 1248.13021
Abhyankar, Shreeram S.; Heinzer, William J.
2012
Fundamental group of the affine line in positive characteristic. Zbl 0914.14014
Abhyankar, Shreeram S.
1995
Singularities of algebraic curves. Zbl 0197.47203
Abhyankar, S. S.
1970
Alternating group coverings of the affine line for characteristic two. Zbl 0833.14017
Abhyankar, Shreeram S.; Ou, Jun; Sathaye, Avinash
1994
On Hilbertian ideals. Zbl 0719.13005
1989
A reduction theorem for divergent power series. Zbl 0191.04403
Abhyankar, S. S.; Moh, T. T.
1970
Pillars and towers of quadratic transformations. Zbl 1227.14004
Abhyankar, Shreeram S.
2011
Geometric theory of algebraic space curves. Zbl 0357.14008
Abhyankar, S. S.; Sathaye, A. M.
1974
More nice equations for nice groups. Zbl 0866.12005
Abhyankar, Shreeram S.
1996
Alternating group coverings of the affine line for characteristic greater than two. Zbl 0801.12003
Abhyankar, Shreeram S.
1993
Small degree coverings of the affine line in characteristic two. Zbl 0833.14018
Abhyankar, Shreeram S.; Yie, Ikkwon
1994
Bivariate factorizations connecting Dickson polynomials and Galois theory. Zbl 0989.12001
Abhyankar, Shreeram S.; Cohen, Stephen D.; Zieve, Michael E.
2000
Embeddings of certain curves in the affine plane. Zbl 0383.14007
Abhyankar, Shreeram S.; Singh, Balwant
1978
Again nice equations for nice groups. Zbl 0866.12004
Abhyankar, Shreeram S.
1996
Galois theory of semilinear transformations. Zbl 0986.12002
Abhyankar, Shreeram S.
1999
Abhyankar, Shreeram S.
2011
Some remarks on the Jacobian question. (Notes by Marius van der Put and William Heinzer, updated by Avinash Sathaye). Zbl 0812.13013
Abhyankar, Shreeram S.
1994
Inversion and invariance of characteristic terms. I. Zbl 1322.14054
Abhyankar, Shreeram S.
2010
What is the difference between a parabola and a hyperbola ? Zbl 0698.14061
Abhyankar, Shreeram S.
1988
Polynomial expansion. Zbl 0942.14008
Abhyankar, Shreeram S.
1998
Once more nice equations for nice groups. Zbl 0889.12005
Abhyankar, Shreeram S.; Loomis, Paul A.
1998
Further nice equations for nice groups. Zbl 0860.12001
Abhyankar, Shreeram S.
1996
Algebraic space curves. Edited by P. Russell and A. Sathaye. Zbl 0245.14009
Abhyankar, Shreeram S.
1971
Existence of dicritical divisors revisited. Zbl 1282.14105
Abhyankar, Shreeram S.; Heinzer, William J.
2011
Quadratic transforms inside their generic incarnations. Zbl 1307.14001
Abhyankar, Shreeram S.
2012
Bijection between indexed monomials and standard bitableaux. Zbl 0767.05094
Abhyankar, Shreeram S.; Kulkarni, Devadatta M.
1990
Young tableaux and linear independence of standard monomials in multiminors of a multimatrix. Zbl 0781.15003
Abhyankar, Shreeram S.; Ghorpade, Sudhir R.
1991
Twice more nice equations for nice groups. Zbl 0982.12002
Abhyankar, Shreeram S.; Loomis, Paul A.
1999
Local fundamental groups of algebraic varieties. Zbl 0891.12003
Abhyankar, Shreeram S.
1997
Uniqueness of plane embeddings of special curves. Zbl 0880.14012
Abhyankar, Shreeram S.; Sathaye, Avinash
1996
Some thoughts on the Jacobian conjecture. I. Zbl 1139.14046
Abhyankar, Shreeram S.
2008
Some thoughts on the Jacobian conjecture. II. Zbl 1139.14047
Abhyankar, Shreeram S.
2008
Factorizations over finite fields. Zbl 0912.11052
Abhyankar, Shreeram S.
1996
Determinantal loci and enumerative combinatorics of Young tableaux. Zbl 0688.14044
Abhyankar, Shreeram S.
1988
Semilinear transformations. Zbl 0934.12002
Abhyankar, Shreeram S.
1999
Every difference polynomial has a connected zero-set. Zbl 0532.12021
Abhyankar, Shreeram S.; Rubel, Lee A.
1980
Wreath products and enlargements of groups. Zbl 0787.20019
Abhyankar, Shreeram S.
1993
Translates of polynomials. Zbl 1053.14011
Abhyankar, Shreeram S.; Heinzer, William J.; Sathaye, Avinash
2003
Uniformization on $$p$$-cyclic extensions of algebraic surfaces over ground fields of characteristic $$p$$. Zbl 0121.37901
Abhyankar, S. S.
1964
Some more Mathieu group coverings in characteristic two. Zbl 0837.12001
Abhyankar, Shreeram S.; Yie, Ikkwon
1994
Efficient faces of polytopes: Interior point algorithms, parametrization of algebraic varieties, and multiple objective optimization. Zbl 0725.90056
Abhyankar, S. S.; Morin, T. L.; Trafalis, T.
1990
Galois embeddings for linear groups. Zbl 0999.12005
Abhyankar, Shreeram S.
2000
Galois theory of Moore-Carlitz-Drinfeld modules. Zbl 0884.12001
Abhyankar, Shreeram S.; Sundaram, Ganapathy S.
1997
Mathieu group coverings and linear group coverings. Zbl 0930.14019
Abhyankar, Shreeram S.
1995
Some thoughts on the Jacobian conjecture. III. Zbl 1162.14041
Abhyankar, Shreeram S.
2008
On the field of definition of a nonsingular birational transform of an algebraic surface. Zbl 0108.16901
Abhyankar, S. S.
1957
Dicriticals of pencils and Dedekind’s Gauss lemma. Zbl 1334.14004
Abhyankar, Shreeram S.
2013
Algebraic theory of curvettes and dicriticals. Zbl 1303.13002
Abhyankar, Shreeram S.; Artal Bartolo, Enrique
2013
Generalized codeletion and standard multitableaux. Zbl 0703.14034
Abhyankar, Shreeram S.; Joshi, Sanjeevani B.
1989
Mathieu-group coverings of the affine line. Zbl 0788.14022
Abhyankar, Shreeram S.; Seiler, Wolfgang K.; Popp, Herbert
1992
An algorithm on polynomials in one indeterminate with coefficients in a two dimensional regular local domain. Zbl 0158.04201
Abhyankar, S. S.
1966
Note on coefficient fields. Zbl 0184.06901
Abhyankar, Shreeram Shankar
1968
Spiders and multiplicity sequences. Zbl 1285.14002
Abhyankar, Shreeram S.; Luengo, Ignacio
2013
Jacobian of meromorphic curves. Zbl 0952.14021
Abhyankar, Shreeram S.; Assi, Abdallah
1999
Coinsertion and standard bitableaux. Zbl 0747.05100
Abhyankar, Shreeram S.; Kulkarni, Devadatta M.
1990
On the compositum of two power series rings. Zbl 0742.13010
Abhyankar, Shreeram S.; Heinzer, William; Wiegand, Sylvia
1991
Group enlargements. Zbl 0793.20019
Abhyankar, Shreeram S.
1991
Analytic theory of curvettes and dicriticals. Zbl 1317.14002
Abhyankar, Shreeram S.; Bartolo, Enrique Artal
2014
Dicriticals of pencils and Dedekind’s Gauss lemma. Zbl 1334.14004
Abhyankar, Shreeram S.
2013
Algebraic theory of curvettes and dicriticals. Zbl 1303.13002
Abhyankar, Shreeram S.; Artal Bartolo, Enrique
2013
Spiders and multiplicity sequences. Zbl 1285.14002
Abhyankar, Shreeram S.; Luengo, Ignacio
2013
Generic incarnations of quadratic transforms. Zbl 1311.13004
Abhyankar, Shreeram S.
2013
Existence of dicritical divisors. Zbl 1248.13021
Abhyankar, Shreeram S.; Heinzer, William J.
2012
Quadratic transforms inside their generic incarnations. Zbl 1307.14001
Abhyankar, Shreeram S.
2012
Rees valuations. Zbl 1275.13015
Abhyankar, Shreeram S.; Heinzer, William J.
2012
Algebraic theory of dicritical divisors. Zbl 1232.13012
Abhyankar, Shreeram S.; Luengo, Ignacio
2011
Pillars and towers of quadratic transformations. Zbl 1227.14004
Abhyankar, Shreeram S.
2011
Abhyankar, Shreeram S.
2011
Existence of dicritical divisors revisited. Zbl 1282.14105
Abhyankar, Shreeram S.; Heinzer, William J.
2011
Dicritical divisors and Jacobian problem. Zbl 1197.14061
Abhyankar, Shreeram S.
2010
Inversion and invariance of characteristic terms. I. Zbl 1322.14054
Abhyankar, Shreeram S.
2010
Some thoughts on the Jacobian conjecture. I. Zbl 1139.14046
Abhyankar, Shreeram S.
2008
Some thoughts on the Jacobian conjecture. II. Zbl 1139.14047
Abhyankar, Shreeram S.
2008
Some thoughts on the Jacobian conjecture. III. Zbl 1162.14041
Abhyankar, Shreeram S.
2008
Two counterexamples in normalization. Zbl 1128.13003
Abhyankar, Shreeram S.; Kravitz, Ben
2007
Lectures on algebra. Vol. 1. Zbl 1121.13001
Abhyankar, S. S.
2006
Abhyankar, Shreeram S.; Kumar, Manish
2005
Translates of polynomials. Zbl 1053.14011
Abhyankar, Shreeram S.; Heinzer, William J.; Sathaye, Avinash
2003
Jacobian pairs. Zbl 1101.13303
Abhyankar, Shreeram S.; Assi, Abdallah
2003
Geometry and Galois theory. Zbl 1034.12002
Abhyankar, S. S.
2003
Two step descent in modular Galois theory, theorems of Burnside and Cayley, and Hilbert’s thirteenth problem. Zbl 1024.12003
Abhyankar, Shreeram S.
2002
Semidirect products: $$x\mapsto ax+b$$ as a first example. Zbl 1065.15034
Abhyankar, Shreeram S.; Christensen, Chris
2002
Desingularization and modular Galois theory (with an appendix by David Harbater). Zbl 1037.12004
Abhyankar, Shreeram S.
2002
Symplectic groups and permutation polynomials. I. Zbl 1045.12002
Abhyankar, Shreeram S.
2002
Resolution of singularities and modular Galois theory. Zbl 0999.12003
Abhyankar, Shreeram S.
2001
Local analytic geometry. Zbl 0974.32003
Abhyankar, Shreeram Shankar
2001
Galois groups of generalized iterates of generic vectorial polynomials. Zbl 1069.12001
Abhyankar, Shreeram S.; Sundaram, Ganapathy S.
2001
Galois groups of some vectorial polynomials. Zbl 0992.12002
Abhyankar, Shreeram S.; Inglis, Nicholas F. J.
2001
Descent principle in modular Galois theory. Zbl 1022.12002
Abhyankar, Shreeram S.; Keskar, Pradipkumar H.
2001
Bivariate factorizations connecting Dickson polynomials and Galois theory. Zbl 0989.12001
Abhyankar, Shreeram S.; Cohen, Stephen D.; Zieve, Michael E.
2000
Galois embeddings for linear groups. Zbl 0999.12005
Abhyankar, Shreeram S.
2000
Factoring the Jacobian. Zbl 1056.14506
Abhyankar, Shreeram S.; Assi, Abdallah
2000
Galois theory of semilinear transformations. Zbl 0986.12002
Abhyankar, Shreeram S.
1999
Twice more nice equations for nice groups. Zbl 0982.12002
Abhyankar, Shreeram S.; Loomis, Paul A.
1999
Semilinear transformations. Zbl 0934.12002
Abhyankar, Shreeram S.
1999
Jacobian of meromorphic curves. Zbl 0952.14021
Abhyankar, Shreeram S.; Assi, Abdallah
1999
Resolution of singularities of embedded algebraic surfaces. 2nd, enl. ed. Zbl 0914.14006
Abhyankar, S. S.
1998
Polynomial expansion. Zbl 0942.14008
Abhyankar, Shreeram S.
1998
Once more nice equations for nice groups. Zbl 0889.12005
Abhyankar, Shreeram S.; Loomis, Paul A.
1998
Projective polynomials. Zbl 0912.12004
Abhyankar, Shreeram S.
1997
Local fundamental groups of algebraic varieties. Zbl 0891.12003
Abhyankar, Shreeram S.
1997
Galois theory of Moore-Carlitz-Drinfeld modules. Zbl 0884.12001
Abhyankar, Shreeram S.; Sundaram, Ganapathy S.
1997
More nice equations for nice groups. Zbl 0866.12005
Abhyankar, Shreeram S.
1996
Again nice equations for nice groups. Zbl 0866.12004
Abhyankar, Shreeram S.
1996
Further nice equations for nice groups. Zbl 0860.12001
Abhyankar, Shreeram S.
1996
Uniqueness of plane embeddings of special curves. Zbl 0880.14012
Abhyankar, Shreeram S.; Sathaye, Avinash
1996
Factorizations over finite fields. Zbl 0912.11052
Abhyankar, Shreeram S.
1996
Fundamental group of the affine line in positive characteristic. Zbl 0914.14014
Abhyankar, Shreeram S.
1995
Mathieu group coverings and linear group coverings. Zbl 0930.14019
Abhyankar, Shreeram S.
1995
Hilbert’s thirteenth problem. Zbl 0886.12002
Abhyankar, Shreeram S.
1995
Small Mathieu group coverings in characteristic two. Zbl 0860.14026
Abhyankar, Shreeram S.; Yie, Ikkwon
1995
Recent developments in the inverse Galois problem. A joint summer research conference, July 17-23, 1993, University of Washington, Seattle, WA, USA. Zbl 0823.00012
Fried, Michael D.; Abhyankar, Shreeram S.; Feit, Walter; Ihara, Yasutaka; Vöklein, Helmut
1995
Nice equations for nice groups. Zbl 0828.14014
Abhyankar, Shreeram S.
1994
Alternating group coverings of the affine line for characteristic two. Zbl 0833.14017
Abhyankar, Shreeram S.; Ou, Jun; Sathaye, Avinash
1994
Small degree coverings of the affine line in characteristic two. Zbl 0833.14018
Abhyankar, Shreeram S.; Yie, Ikkwon
1994
Some remarks on the Jacobian question. (Notes by Marius van der Put and William Heinzer, updated by Avinash Sathaye). Zbl 0812.13013
Abhyankar, Shreeram S.
1994
Some more Mathieu group coverings in characteristic two. Zbl 0837.12001
Abhyankar, Shreeram S.; Yie, Ikkwon
1994
Square-root parametrization of plane curves. Appendix by J.-P. Serre. Zbl 0830.12002
Abhyankar, Shreeram S.
1994
Ramification in infinite integral extensions. Zbl 0832.13008
Abhyankar, Shreeram S.; Heinzer, William J.
1994
Alternating group coverings of the affine line for characteristic greater than two. Zbl 0801.12003
Abhyankar, Shreeram S.
1993
Wreath products and enlargements of groups. Zbl 0787.20019
Abhyankar, Shreeram S.
1993
Generalized coinsertion and standard multitableaux. Zbl 0768.05096
Abhyankar, Shreeram S.; Joshi, Sanjeevani B.
1993
Mathieu group coverings in characteristic two. Zbl 0809.14020
Abhyankar, Shreeram S.
1993
Galois theory on the line in nonzero characteristic. Zbl 0760.12002
Abhyankar, Shreeram S.
1992
Mathieu-group coverings of the affine line. Zbl 0788.14022
Abhyankar, Shreeram S.; Seiler, Wolfgang K.; Popp, Herbert
1992
Linear disjointness of polynomials. Zbl 0760.12003
Abhyankar, Shreeram S.
1992
Young tableaux and linear independence of standard monomials in multiminors of a multimatrix. Zbl 0781.15003
Abhyankar, Shreeram S.; Ghorpade, Sudhir R.
1991
On the compositum of two power series rings. Zbl 0742.13010
Abhyankar, Shreeram S.; Heinzer, William; Wiegand, Sylvia
1991
Group enlargements. Zbl 0793.20019
Abhyankar, Shreeram S.
1991
Generalized roinsertive correspondence between multitableaux and multimonomials. Zbl 0754.05072
Abhyankar, Shreeram S.; Joshi, Sanjeevani B.
1991
Generalized rodeletive correspondence between multitableaux and multimonomials. Zbl 0754.05073
Abhyankar, Shreeram S.; Joshi, Sanjeevani B.
1991
Derivativewise unramified infinite integral extensions. Zbl 0815.13004
Abhyankar, Shreeram S.; Heinzer, William J.
1991
Intersection of algebraic space curves. Zbl 0746.14013
Abhyankar, Shreeram S.; Chandrasekar, Srinivasan; Chandru, Vijaya
1991
Algebraic geometry for scientists and engineers. Zbl 0709.14001
Abhyankar, Shreeram S.
1990
Bijection between indexed monomials and standard bitableaux. Zbl 0767.05094
Abhyankar, Shreeram S.; Kulkarni, Devadatta M.
1990
Efficient faces of polytopes: Interior point algorithms, parametrization of algebraic varieties, and multiple objective optimization. Zbl 0725.90056
Abhyankar, S. S.; Morin, T. L.; Trafalis, T.
1990
Coinsertion and standard bitableaux. Zbl 0747.05100
Abhyankar, Shreeram S.; Kulkarni, Devadatta M.
1990
Improper intersection of algebraic curves. Zbl 0726.68072
Abhyankar, Shreeram S.; Chandrasekar, Srinivasan; Chandru, Vijaya
1990
Automatic parameterization of rational curves and surfaces. IV: Algebraic space curves. Zbl 0746.68104
Abhyankar, Shreeram S.; Bajaj, Chanderjit L.
1989
Irreducibility criterion for germs of analytic functions of two complex variables. Zbl 0683.14001
Abhyankar, Shreeram S.
1989
On Hilbertian ideals. Zbl 0719.13005
1989
Generalized codeletion and standard multitableaux. Zbl 0703.14034
Abhyankar, Shreeram S.; Joshi, Sanjeevani B.
1989
On the Jacobian conjecture: A new approach via Gröbner bases. Zbl 0693.13008
Abhyankar, Shreeram S.; Li, Wei
1989
Automatic parameterization of rational curves and surfaces. III: Algebraic plane curves. Zbl 0655.65019
Abhyankar, Shreeram S.; Bajaj, Chanderjit L.
1988
Enumerative combinatorics of Young tableaux. Zbl 0643.05001
Abhyankar, Shreeram S.
1988
Good points of a hypersurface. Zbl 0657.14008
Abhyankar, Shreeram S.
1988
What is the difference between a parabola and a hyperbola ? Zbl 0698.14061
Abhyankar, Shreeram S.
1988
Determinantal loci and enumerative combinatorics of Young tableaux. Zbl 0688.14044
Abhyankar, Shreeram S.
1988
Automatic parameterization of rational curves and surfaces. I: Conics and conicoids. Zbl 0655.65017
Abhyankar, Shreeram S.; Bajaj, Chanderjit
1987
Automatic parametrization of rational curves and surfaces. II: Cubics and cubicoids. Zbl 0655.65018
Abhyankar, Shreeram S.; Bajaj, Chanderjit
1987
Combinatoire des tableaux de Young, variétés determinantielles et calcul de fonctions de Hilbert. (Combinatoric of Young tableaux, determinantal varieties and calculus of Hilbert functions). (Rédigé par A. Galligo). Zbl 0614.14017
Abhyankar, S.
1984
Desingularization of plane curves. Zbl 0521.14005
Abhyankar, Shreeram S.
1983
Weighted expansions for canonical desingularization. With foreword by U. Orbanz. Zbl 0479.14009
Abhyankar, Shreeram S.
1982
Every difference polynomial has a connected zero-set. Zbl 0532.12021
Abhyankar, Shreeram S.; Rubel, Lee A.
1980
Quasirational singularities. Zbl 0425.14009
Abhyankar, Shreeram S.
1979
Embeddings of certain curves in the affine plane. Zbl 0383.14007
Abhyankar, Shreeram S.; Singh, Balwant
1978
Lectures on expansion techniques in algebraic geometry. With notes by Balwant Singh. Zbl 0818.14001
Abhyankar, Shreeram Shankar
1977
...and 49 more Documents
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#### Cited by 951 Authors

 74 Abhyankar, Shreeram Shankar 23 Heinzer, William J. 22 Cutkosky, Steven Dale 20 Yu, Jie-Tai 14 Olberding, Bruce M. 12 Pérez-Díaz, Sonia 12 Villamayor Uriburu, Orlando Eugenio 11 Galindo Pastor, Carlos 11 Granja, Angel 11 Makar-Limanov, Leonid G. 10 Gupta, Neena 10 Gurjar, Rajendra Vasant 9 Cossart, Vincent 9 El Kahoui, M’hammed 9 Kaliman, Shulim I. 9 Verma, Jugal Kishore 8 Becker, Joseph A. 8 Bhatwadekar, Srikant M. 8 Daigle, Daniel 8 Moh, Tzuong-Tsieng 8 Monserrat, Francisco 8 Piltant, Olivier 8 Sally, Judith D. 8 Wang, Stuart Sui-Sheng 8 Wang, Wenping 7 Dubouloz, Adrien 7 García Barroso, Evelia Rosa 7 Russell, Peter K. 7 Sendra, Juan Rafael 7 Shpilrain, Vladimir 7 Valla, Giuseppe 6 Connell, Edwin H. 6 Dutta, Amartya Kumar 6 González Pérez, Pedro Daniel 6 Herzog, Jürgen 6 Kuhlmann, Franz-Viktor 6 Kulkarni, Devadatta M. 6 Miyanishi, Masayoshi 6 Mulay, Shashikant B. 6 Płoski, Arkadiusz 6 Sathaye, Avinash 6 Toeniskoetter, Matthew 5 Assi, Abdallah 5 Chèze, Guillaume 5 Ghorpade, Sudhir R. 5 Gutierrez, Jaime 5 Gwoździewicz, Janusz 5 Jia, Xiaohong 5 Kashcheyeva, Olga 5 Kim, Mee-Kyoung 5 Kuhlmann, Norbert 5 Martínez, Ma. Carmen 5 McKay, James H. 5 Ngô Viêt Trung 5 Popp, Herbert 5 Reguera, Ana-José 5 Rossi, Maria Evelina 5 Wiegand, Sylvia M. 4 Angermüller, Gerhard 4 Cassou-Noguès, Pierrette 4 Conca, Aldo 4 Crachiola, Anthony J. 4 Elias, Juan 4 Forstnerič, Franc 4 Fried, Michael David 4 Furter, Jean-Philippe 4 Gao, Xiaoshan 4 Hauser, Herwig 4 Jelonek, Zbigniew 4 Johnston, Bernard L. 4 Kanel’-Belov, Alekseĭ Yakovlevich 4 Katz, Nicholas Michael 4 Kawakita, Masayuki 4 Kustin, Andrew R. 4 Moyano Fernández, Julio José 4 Parusiński, Adam 4 Polini, Claudia 4 Popescu-Pampu, Patrick 4 Rodríguez, Cristina 4 Rond, Guillaume 4 Rotthaus, Christel 4 Schicho, Josef 4 Shen, Liyong 4 Spivakovsky, Mark 4 Ulrich, Bernd 4 van den Essen, Arno 4 Winkler, Franz 4 Wright, David L. 4 Yie, Ikkwon 4 Yoshihara, Hisao 4 Zieve, Michael E. 3 Aroca, Fuensanta 3 Artal Bartolo, Enrique 3 Bajaj, Chanderjit L. 3 Benito, Angélica 3 Blasco, Ángel 3 Bravo, Ana María 3 Busé, Laurent 3 Campillo, Antonio 3 Chakraborty, Sagnik ...and 851 more Authors
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#### Cited in 166 Serials

 146 Journal of Algebra 85 Journal of Pure and Applied Algebra 80 Proceedings of the American Mathematical Society 49 Communications in Algebra 48 Mathematische Annalen 44 Transactions of the American Mathematical Society 31 Computer Aided Geometric Design 30 Journal of Symbolic Computation 28 Inventiones Mathematicae 26 Compositio Mathematica 23 Advances in Mathematics 22 Annales de l’Institut Fourier 21 Mathematische Zeitschrift 16 Duke Mathematical Journal 15 Israel Journal of Mathematics 14 Manuscripta Mathematica 14 Finite Fields and their Applications 13 Journal of Algebra and its Applications 11 Discrete Mathematics 11 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 11 Journal of Commutative Algebra 10 Archiv der Mathematik 10 Journal of Number Theory 9 Mathematical Proceedings of the Cambridge Philosophical Society 9 Bulletin of the American Mathematical Society. New Series 8 Journal of Mathematical Analysis and Applications 8 Rocky Mountain Journal of Mathematics 8 Rendiconti del Seminario Matematico della Università di Padova 8 Revista Matemática Iberoamericana 8 Revista Matemática Complutense 7 Nagoya Mathematical Journal 7 Publications of the Research Institute for Mathematical Sciences, Kyoto University 7 Applicable Algebra in Engineering, Communication and Computing 6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 6 Bulletin de la Société Mathématique de France 6 Publications Mathématiques 6 Journal of Computational and Applied Mathematics 6 Journal of the Mathematical Society of Japan 6 Journal of the American Mathematical Society 6 Journal of Algebraic Geometry 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 Transformation Groups 5 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 5 Kyoto Journal of Mathematics 5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 4 Indian Journal of Pure & Applied Mathematics 4 Mathematics of Computation 4 Beiträge zur Algebra und Geometrie 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Tohoku Mathematical Journal. Second Series 4 Linear Algebra and its Applications 3 Arkiv för Matematik 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Acta Mathematica 3 Geometriae Dedicata 3 Journal of Differential Equations 3 Journal für die Reine und Angewandte Mathematik 3 Journal of Soviet Mathematics 3 Kodai Mathematical Journal 3 Monatshefte für Mathematik 3 International Journal of Mathematics 3 Journal of the European Mathematical Society (JEMS) 3 Journal of Systems Science and Complexity 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Computer Methods in Applied Mechanics and Engineering 2 Mathematical Notes 2 Glasgow Mathematical Journal 2 Information Sciences 2 Journal of Combinatorial Theory. Series A 2 Journal of the London Mathematical Society. Second Series 2 Journal of Statistical Planning and Inference 2 Osaka Journal of Mathematics 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Results in Mathematics 2 Semigroup Forum 2 Theoretical Computer Science 2 Physica D 2 Journal of Complexity 2 Algorithmica 2 Applied Mathematics Letters 2 International Journal of Computational Geometry & Applications 2 Designs, Codes and Cryptography 2 Indagationes Mathematicae. New Series 2 Journal of Algebraic Combinatorics 2 The Electronic Journal of Combinatorics 2 Journal of the Institute of Mathematics of Jussieu 2 Bulletin of the American Mathematical Society 2 Functional Analysis and Other Mathematics 2 Algebra & Number Theory 1 Bulletin of the Australian Mathematical Society 1 Discrete Applied Mathematics 1 International Journal of Theoretical Physics 1 Journal d’Analyse Mathématique 1 Moscow University Mathematics Bulletin 1 Nuclear Physics. B 1 Theoretical and Mathematical Physics 1 Chaos, Solitons and Fractals 1 The Mathematical Intelligencer 1 Acta Arithmetica 1 Acta Mathematica Vietnamica ...and 66 more Serials
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#### Cited in 51 Fields

 632 Algebraic geometry (14-XX) 473 Commutative algebra (13-XX) 133 Several complex variables and analytic spaces (32-XX) 117 Field theory and polynomials (12-XX) 74 Number theory (11-XX) 53 Computer science (68-XX) 45 Group theory and generalizations (20-XX) 43 Numerical analysis (65-XX) 35 Combinatorics (05-XX) 32 Associative rings and algebras (16-XX) 15 Mathematical logic and foundations (03-XX) 13 Real functions (26-XX) 13 Ordinary differential equations (34-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Functions of a complex variable (30-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Information and communication theory, circuits (94-XX) 8 Nonassociative rings and algebras (17-XX) 8 Geometry (51-XX) 8 Differential geometry (53-XX) 8 Manifolds and cell complexes (57-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Partial differential equations (35-XX) 6 Functional analysis (46-XX) 5 Category theory; homological algebra (18-XX) 5 Operations research, mathematical programming (90-XX) 4 $$K$$-theory (19-XX) 4 Convex and discrete geometry (52-XX) 3 Special functions (33-XX) 3 Quantum theory (81-XX) 2 History and biography (01-XX) 2 Difference and functional equations (39-XX) 2 Abstract harmonic analysis (43-XX) 2 Operator theory (47-XX) 2 Mechanics of deformable solids (74-XX) 1 General and overarching topics; collections (00-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX)

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