Keyword

characteristic zero

Description: A property of a field or ring in which no positive number of summed copies of the multiplicative identity equals zero.

Primary topic: Algebraic Geometry and Number Theory (25%)

Wikidata ID: wiki/Q836088

OpenAlex ID: keywords/characteristic-zero

Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero: I

1964 · Heisuke Hironaka · Annals of Mathematics · 2,276

Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant

1997 · Edward Bierstone · Inventiones mathematicae · 587

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Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero: II

1964 · Heisuke Hironaka · Annals of Mathematics · 455

Désingularisation des variétés de Schubert généralisées

1974 · Michel Demazure · Annales Scientifiques de l École Normale Supérieure · 421

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Ideals of Identities of Associative Algebras

1991 · Aleksander Kemer · Translations of mathematical monographs · 321

Finiteness properties of local cohomology modules (an application ofD-modules to commutative algebra)

1993 · Gennady Lyubeznik · Inventiones mathematicae · 315

Torification and factorization of birational maps

2002 · Dan Abramovich, Kalle Karu, et al. · Journal of the American Mathematical Society · 290

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The tame and the wild automorphisms of polynomial rings in three variables

2003 · Ivan Shestakov, Ualbai Umirbaev · Journal of the American Mathematical Society · 262

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Finite dimensional cosemisimple Hopf algebras in characteristic 0 are semisimple

1988 · Richard G Larson, David E Radford · Journal of Algebra · 262

Exponential Codimension Growth of PI Algebras: An Exact Estimate

1999 · A Giambruno, M Zaicev · Advances in Mathematics · 260

Hodge Cycles on Abelian Varieties

1982 · P. Deligne · Lecture notes in mathematics · 235

Bass Numbers of Local Cohomology Modules

1993 · Craig L. Huneke, Rodney Y. Sharp · Transactions of the American Mathematical Society · 228

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Fully Reducible Subgroups of Algebraic Groups

1956 · G. D. Mostow · American Journal of Mathematics · 227

Perfectoid Spaces

2012 · Peter Scholze · Publications mathématiques de l IHÉS · 225

Form rings and regular sequences

1978 · Paolo Valabrega, Giuseppe Valla · Nagoya Mathematical Journal · 213

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Trace Identities of Full Matrix Algebras Over a Field of Characteristic Zero

1974 · Ju P Razmyslov · Mathematics of the USSR-Izvestiya · 212

Model theory of difference fields

1999 · Zoé Chatzidakis, Ehud Hrushovski · Transactions of the American Mathematical Society · 210

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Weak semistable reduction in characteristic 0

2000 · D. Abramovich, K. Karu · Inventiones mathematicae · 205

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Invariants of Finite Reflection Groups

1963 · Louis Solomon · Nagoya Mathematical Journal · 205

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Semisimple Lie Algebras

2020 · Morikuni Goto, Frank D. Grosshans · CRC Press eBooks · 185

Local Uniformization on Algebraic Varieties

1940 · Oscar Zariski · Annals of Mathematics · 185

Graded decomposition numbers for cyclotomic Hecke algebras

2009 · Jonathan Brundan, Alexander Kleshchev · Advances in Mathematics · 181

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DG coalgebras as formal stacks

2001 · Vladimir Hinich · Journal of Pure and Applied Algebra · 178

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Multiplicity one theorems

2010 · Avraham Aizenbud, Dmitry Gourevitch, et al. · Annals of Mathematics · 174

The local Langlands conjecture for GSp(4)

2011 · Wee Teck Gan, Shuichiro Takeda · Annals of Mathematics · 170

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Works count: 4,691

Citation count: 42,130