Andrei A Suslin

  • 1333 Citations
1974 …2013

Research Output 1974 2013

  • 1333 Citations
  • 85 Article
  • 8 Conference contribution
  • 2 Chapter
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Article
2013

Homological stabilization for dedekind rings of the arithmetic type

Zainalov, B. R. & Suslin, A. A. Apr 22 2013 In : Ukrainian Mathematical Journal. 64, 11, p. 1658-1671 14 p.

Research output: Contribution to journalArticle

Stabilization
Ring
K-theory
Cycle
Standards
1 Citations

Quillen's solution of Serre's Problem

Suslin, A. Jun 1 2013 In : Journal of K-Theory. 11, 3, p. 549-552 4 p.

Research output: Contribution to journalArticle

History
2011
16 Citations

Modules for ℤ/p × ℤ/p

Carlson, J. F., Friedlander, E. M. & Suslin, A. Jun 10 2011 In : Commentarii Mathematici Helvetici. 86, 3, p. 609-657 49 p.

Research output: Contribution to journalArticle

Representation Theory
Module
Modular Representations
Group Scheme
Finite Group
2010
6 Citations

Motivic cohomology of the simplicial motive of a Rost variety

Merkurjev, A. & Suslin, A. Nov 1 2010 In : Journal of Pure and Applied Algebra. 214, 11, p. 2017-2026 10 p.

Research output: Contribution to journalArticle

Motivic Cohomology
Galois Cohomology
Division Algebra
Square free
Cohomology Group
2007
33 Citations

Generic and maximal Jordan types

Friedlander, E. M., Pevtsova, J. & Suslin, A. Jun 1 2007 In : Inventiones Mathematicae. 168, 3, p. 485-522 38 p.

Research output: Contribution to journalArticle

Group Scheme
P-groups
Divisible
Finite Group
Subgroup
2006
3 Citations

Detection theorem for finite group schemes

Suslin, A. Jul 1 2006 In : Journal of Pure and Applied Algebra. 206, 1-2 SPEC. ISS., p. 189-221 33 p.

Research output: Contribution to journalArticle

Group Scheme
Finite Group
Theorem
Generalise
45 Citations

Norm varieties

Suslin, A. & Joukhovitski, S. Jul 1 2006 In : Journal of Pure and Applied Algebra. 206, 1-2 SPEC. ISS., p. 245-276 32 p.

Research output: Contribution to journalArticle

Motivic Cohomology
Splitting Field
Norm
K-group
Cohomology Group
2003

The Mathematical Work of the 2002 Fields Medalists

Friedlander, E., Rappoport, M. & Suslin, A. A. 2003 In : Notices of the American Mathematical Society. 50, p. 212-217

Research output: Contribution to journalArticle

The Mathematical Work of the 2002 Fields Medalists Mitt.Dtsch

Suslin, A., Friedlander, E. & Rappoport, M. 2003 In : Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV). p. 11-16

Research output: Contribution to journalArticle

2002

On the Vanishing of H3(SL2(A, I),Z/l)

Suslin, A. 2002 In : Algebra, Arithmetic and Geometry. 16, p. 621-651

Research output: Contribution to journalArticle

46 Citations

The spectral sequences relating algebraic K-theory to motivic cohomology

Friedlander, E. M. & Suslin, A. Nov 1 2002 In : Annales Scientifiques de l'Ecole Normale Superieure. 35, 6, p. 773-875 103 p.

Research output: Contribution to journalArticle

Motivic Cohomology
Algebraic K-theory
Spectral Sequence
Coherent Sheaf
K-theory
1999

Cycles, Transfers and Motivic homology theories

Suslin, A., Voevodsky, V. & Friedlander, E. 1999 In : Annals of Mathematical Studies. 143

Research output: Contribution to journalArticle

51 Citations

General linear and functor cohomology over finite fields

Franjou, V., Friedlander, E. M., Scorichenko, A. & Suslin, A. Jan 1 1999 In : Annals of Mathematics. 150, 2, p. 663-728 66 p.

Research output: Contribution to journalArticle

Functor
Galois field
Cohomology

GL-cohomology and ExtF-groups

Suslin, A. 1999 In : Annals of Math. 50, p. 717-728

Research output: Contribution to journalArticle

Voevodsky’s proof of the Milnor Conjecture

Suslin, A. 1999 In : Current developments in mathematics. p. 173-188

Research output: Contribution to journalArticle

1998

On the Grothendieck Conjecture for Azumaya Algebras

Suslin, A. 1998 In : Saint Petersburg Math. Journal. 9, p. 851-858

Research output: Contribution to journalArticle

1997
147 Citations

Cohomology of finite group schemes over a field

Friedlander, E. M. & Suslin, A. Jan 1 1997 In : Inventiones Mathematicae. 127, 2, p. 209-270 62 p.

Research output: Contribution to journalArticle

Group Scheme
Cohomology
Finite Group
69 Citations

Infinitesimal 1-parameter subgroups and cohomology

Suslin, A., Friedlander, E. M. & Bendel, C. P. Jul 1 1997 In : Journal of the American Mathematical Society. 10, 3, p. 693-728 36 p.

Research output: Contribution to journalArticle

Cohomology
Subgroup
63 Citations

Support varieties for infinitesimal group schemes

Suslin, A., Friedlander, E. M. & Bendel, C. P. Jul 1 1997 In : Journal of the American Mathematical Society. 10, 3, p. 729-759 31 p.

Research output: Contribution to journalArticle

Group Scheme
1996

Homology stability for H-unital Q-algebras

Suslin, A. 1996 In : Advances in the Math. Sciences, AMS translations series 2. 174, p. 117-139

Research output: Contribution to journalArticle

104 Citations

Singular homology of abstract algebraic varieties

Suslin, A. & Voevodsky, V. Jan 1 1996 In : Inventiones Mathematicae. 123, 1, p. 61-94 34 p.

Research output: Contribution to journalArticle

Algebraic Variety
Homology
1993

The Beilinson spectral sequence for the K-theory of the field of real numbers

Suslin, A. 1993 In : Journal of Soviet Math. 63, p. 57-59

Research output: Contribution to journalArticle

1991

K-theory and K-cohomology of certain group varieties

Suslin, A. 1991 In : Advances in Soviet Mathematics. 4, p. 53-74

Research output: Contribution to journalArticle

Milnor K3 of a dicrete valuation ring

Suslin, A. & Yarosh, V. 1991 In : Advances in Soviet Mathematics. 4, p. 155-170

Research output: Contribution to journalArticle

22 Citations

Norm residue homomorphism of degree three

Suslin, A. & Merkurjev, A. S. 1991 In : Math. USSR Izv.. 36, p. 349-367

Research output: Contribution to journalArticle

SK1 of division algebras and Galois cohomology

Suslin, A. 1991 In : Advances in Soviet Mathematics. 4, p. 75-99

Research output: Contribution to journalArticle

20 Citations

The group k3for a field

Merkur'ev, A. S. & Suslin, A. A. Jun 30 1991 In : Mathematics of the USSR - Izvestija. 36, 3, p. 541-565 25 p.

Research output: Contribution to journalArticle

K-group
Witt Ring
Principal ideal domain
Divisible
Theorem

The group K3 for a field

Suslin, A. & Merkurjev, A. S. 1991 In : Math. USSR Izv.. 36, p. 541-565

Research output: Contribution to journalArticle

Triviality of higher Chern classes in the K-theory of global fields

Suslin, A. & Musihin, A. 1991 In : Advances in Soviet Mathematics. 4, p. 145-154

Research output: Contribution to journalArticle

1990
8 Citations

Excision in algebraic K-theory and Karoubi's conjecture

Suslin, A. A. & Wodzicki, M. Jan 1 1990 In : Proceedings of the National Academy of Sciences of the United States of America. 87, 24, p. 9582-9584 3 p.

Research output: Contribution to journalArticle

36 Citations

Homology of the full linear group over a local ring, and milnor's k-theory

Nesterenko, Y. P. & Suslin, A. A. Feb 28 1990 In : Mathematics of the USSR - Izvestija. 34, 1, p. 121-145 25 p.

Research output: Contribution to journalArticle

Linear Group
Bijective
Local Ring
K-theory
Homomorphism

Homology of the general linear group over a local ring and Milnor K-theory

Suslin, A. & Nesterenko, Y. P. 1990 In : Mathematics of the USSR-Izvestiya. 34, p. 121-145

Research output: Contribution to journalArticle

K3 of a field and the Bloch group

Suslin, A. 1990 In : Trudy MIAN SSSR. 183, p. 180-199

Research output: Contribution to journalArticle

Norm residue homomorphism of degree three

Suslin, A. & Merkurjev, A. S. 1990 In : Izv. Akad. Nauk SSSR. 54, p. 339-356

Research output: Contribution to journalArticle

The group K3 for a field

Suslin, A. & Merkurjev, A. S. 1990 In : Izv. Akad. Nauk SSSR. 54, p. 522-545

Research output: Contribution to journalArticle

1989

Homology of the general linear group over a local ring and Milnor K-theory

Suslin, A. & Nesterenko, Y. P. 1989 In : Izv. Akad. Nauk SSSR. 53, p. 121-146

Research output: Contribution to journalArticle

1988
1987
76 Citations

Torsion in K2 of fields

Suslin, A. A. Jan 1 1987 In : K-Theory. 1, 1, p. 5-29 25 p.

Research output: Contribution to journalArticle

Torsion
Central Simple Algebra
Field extension
Homomorphisms
Subgroup
1986

The K-theory of local division algebras

Suslin, A. & Yuffrjakov, A. 1986 In : Doklady Akademii nauk SSSR. 288, p. 832-836

Research output: Contribution to journalArticle

The K-theory of local division algebras,

Suslin, A. & Yuffrjakov, A. 1986 In : Soviet mathematics - Doklady. 33, p. 794-798

Research output: Contribution to journalArticle

1985

Algebraic K-theory

Suslin, A. 1985 In : Algebra, Geometry, Topology. 20, p. 71-152

Research output: Contribution to journalArticle

4 Citations

Algebraic K-theory

Suslin, A. A. Mar 1 1985 In : Journal of Soviet Mathematics. 28, 6, p. 870-923 54 p.

Research output: Contribution to journalArticle

Algebraic K-theory
K-theory
Ring
39 Citations

Algebraic K-theory and the norm-residue homomorphism

Suslin, A. A. Sep 1 1985 In : Journal of Soviet Mathematics. 30, 6, p. 2556-2611 56 p.

Research output: Contribution to journalArticle

Algebraic K-theory
K-group
Homomorphism
Algebra
Norm
1984
13 Citations

Cancellation over affine varieties

Suslin, A. A. Nov 1 1984 In : Journal of Soviet Mathematics. 27, 4, p. 2974-2980 7 p.

Research output: Contribution to journalArticle

Cancellation
Trivial
Étale Cohomology
Curve
Cohomology Group

Homology of GLn, characteristic classes and Milnor K-theory

Suslin, A. 1984 In : Lecture Notes in Mathematics. 1046, p. 357-375

Research output: Contribution to journalArticle

Norm residue homomorphism

Suslin, A. 1984 In : Lecture Notes in Pure and Applied Math. 91, p. 49-51

Research output: Contribution to journalArticle

91 Citations

On the K-theory of local fields

Suslin, A. A. Jan 1 1984 In : Journal of Pure and Applied Algebra. 34, 2-3, p. 301-318 18 p.

Research output: Contribution to journalArticle

K-theory
Local Field
1983
138 Citations

K-Cohomology of severi-brauer varieties and the norm residue homomorphism

Merkur'ev, A. S. & Suslin, A. A. Apr 30 1983 In : Mathematics of the USSR - Izvestija. 21, 2, p. 307-340 34 p.

Research output: Contribution to journalArticle

Homomorphism
Cohomology
Central Simple Algebra
Norm
Brauer Group
68 Citations

On the K-theory of algebraically closed fields

Suslin, A. Jun 1 1983 In : Inventiones Mathematicae. 73, 2, p. 241-245 5 p.

Research output: Contribution to journalArticle

K-theory
Algebraically closed
1982

K-cohomology of Severy-Brauer varieties and the norm-residue homomorphism

Suslin, A. & Merkurjev, A. S. 1982 In : Mathematics of the USSR-Izvestiya.

Research output: Contribution to journalArticle