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1

Milnor′s Lemma, Newton′s Method, and Continued Fractions

Boris M. Bekker,, Oleg A. Ivanov,, Alexander S. Merkurjev,

Journal:

American Mathematical Monthly

Year:

2016

File:

PDF, 179 KB

2016

2

Milnor′s Lemma, Newton′s Method, and Continued Fractions

Boris M. Bekker,, Oleg A. Ivanov,, Alexander S. Merkurjev,

Journal:

American Mathematical Monthly

Year:

2016

Language:

english

File:

PDF, 179 KB

english, 2016

3

Motivic decomposition of isotropic projective homogeneous varieties

Chernousov, Vladimir, Gille, Stefan, Merkurjev, Alexander

Journal:

Duke Mathematical Journal

Year:

2005

Language:

english

File:

PDF, 231 KB

english, 2005

4

Hermitian forms over quaternion algebras

Karpenko, Nikita A., Merkurjev, Alexander S.

Journal:

Compositio Mathematica

Year:

2014

Language:

english

File:

PDF, 522 KB

english, 2014

5

Connectedness of classes of fields and zero-cycles on projective homogeneous varieties

Chernousov, Vladimir, Merkurjev, Alexander

Journal:

Compositio Mathematica

Year:

2006

Language:

english

File:

PDF, 426 KB

english, 2006

6

Motivic decomposition of isotropic projective homogeneous varieties

Chernousov, Vladimir, Gille, Stefan, Merkurjev, Alexander

Journal:

Duke Mathematical Journal

Year:

2005

Language:

english

File:

PDF, 260 KB

english, 2005

7

A lower bound on the essential dimension of simple algebras

Merkurjev, Alexander

Journal:

Algebra & Number Theory

Year:

2010

Language:

english

File:

PDF, 1.91 MB

english, 2010

8

Cohomological Invariants of Simply Connected Groups of Rank 3

Alexander Merkurjev

Journal:

Journal of Algebra

Year:

2000

Language:

english

File:

PDF, 152 KB

english, 2000

9

Canonical -dimension of algebraic groups

Nikita A. Karpenko, Alexander S. Merkurjev

Journal:

Advances in Mathematics

Year:

2006

Language:

english

File:

PDF, 288 KB

english, 2006

10

Essential dimension of quadrics

Nikita Karpenko, Alexander Merkurjev

Journal:

Inventiones mathematicae

Year:

2003

Language:

english

File:

PDF, 276 KB

english, 2003

11

Essential dimension of finitep-groups

Nikita A. Karpenko, Alexander S. Merkurjev

Journal:

Inventiones mathematicae

Year:

2008

Language:

english

File:

PDF, 349 KB

english, 2008

12

The group SK1 for simple algebras

Alexander Merkurjev

Journal:

Year:

2006

Language:

english

File:

PDF, 181 KB

english, 2006

13

Essential dimension of central simple algebras

Sanghoon Baek, Alexander S. Merkurjev

Journal:

Acta Mathematica

Year:

2012

Language:

english

File:

PDF, 431 KB

english, 2012

14

Essential(p)-dimension of split simple groups of type(A_n)

Vladimir Chernousov, Alexander Merkurjev

Journal:

Mathematische Annalen

Year:

2013

Language:

english

File:

PDF, 255 KB

english, 2013

15

Essential dimension: a survey

Alexander S. Merkurjev

Journal:

Transformation Groups

Year:

2013

Language:

english

File:

PDF, 852 KB

english, 2013

16

Steenrod operations and degree formulas

Merkurjev, Alexander

Journal:

Journal für die reine und angewandte Mathematik (Crelles Journal)

Year:

2003

Language:

english

File:

PDF, 144 KB

english, 2003

17

Invariants of algebraic groups

Merkurjev, Alexander

Journal:

Journal für die reine und angewandte Mathematik (Crelles Journal)

Year:

1999

Language:

english

File:

PDF, 1.83 MB

english, 1999

18

Essential $p$-dimension of $\operatorname {\mathbf {PGL}}(p^2)$

Merkurjev, Alexander S.

Journal:

Journal of the American Mathematical Society

Year:

2010

Language:

english

File:

PDF, 308 KB

english, 2010

19

Suslin’s conjecture on the reduced Whitehead group of a simple algebra

Merkurjev, Alexander

Journal:

Journal of the American Mathematical Society

Year:

2015

Language:

english

File:

PDF, 290 KB

english, 2015

20

R-Equivalence in Spinor Groups

Vladimir Chernousov and Alexander Merkurjev

Journal:

Journal of the American Mathematical Society

Year:

2001

Language:

english

File:

PDF, 2.29 MB

english, 2001

21

Invariants of degree 3 and torsion in the Chow group of a versal flag

Merkurjev, Alexander, Neshitov, Alexander, Zainoulline, Kirill

Journal:

Compositio Mathematica

Year:

2015

Language:

english

File:

PDF, 503 KB

english, 2015

22

Cohomological invariants of algebraic tori

Blinstein, Sam, Merkurjev, Alexander

Journal:

Algebra & Number Theory

Year:

2013

Language:

english

File:

PDF, 1.12 MB

english, 2013

23

On polynomially integrable convex bodies

Koldobsky, Alexander, Merkurjev, Alexander S., Yaskin, Vladyslav

Journal:

Advances in Mathematics

Year:

2017

Language:

english

File:

PDF, 298 KB

english, 2017

24

Unramified degree three invariants for reductive groups of type A

Merkurjev, Alexander S.

Journal:

Journal of Algebra

Year:

2018

Language:

english

File:

PDF, 307 KB

english, 2018

25

Essential dimension of spinor and Clifford groups

Chernousov, Vladimir, Merkurjev, Alexander

Journal:

Algebra & Number Theory

Year:

2014

Language:

english

File:

PDF, 961 KB

english, 2014

26

Motivic decomposition of compactifications of certain group varieties

Karpenko, Nikita A., Merkurjev, Alexander S.

Journal:

Journal für die reine und angewandte Mathematik (Crelles Journal)

Year:

2018

Language:

english

File:

PDF, 370 KB

english, 2018

27

The norm principle for type $D_n$ groups over complete discretely valued fields

Bhaskhar, Nivedita, Chernousov, Vladimir, Merkurjev, Alexander

Journal:

Transactions of the American Mathematical Society

Year:

2018

Language:

english

File:

PDF, 323 KB

english, 2018

28

The norm principle for type $D_n$ groups over complete discretely valued fields

Bhaskhar, Nivedita, Chernousov, Vladimir, Merkurjev, Alexander

Journal:

Transactions of the American Mathematical Society

Year:

2018

File:

PDF, 323 KB

2018

29

Motivic cohomology of the simplicial motive of a Rost variety

Alexander Merkurjev, Andrei Suslin

Journal:

Journal of Pure and Applied Algebra

Year:

2010

Language:

english

File:

PDF, 357 KB

english, 2010

30

Unramified cohomology of classifying varieties for classical simply connected groups

Alexander Merkurjev

Journal:

Annales Scientifiques de l'École Normale Supérieure

Year:

2002

Language:

english

File:

PDF, 347 KB

english, 2002

31

Invariants of simple algebras

Sanghoon Baek, Alexander S. Merkurjev

Journal:

manuscripta mathematica

Year:

2009

Language:

english

File:

PDF, 187 KB

english, 2009

32

Degree three unramified cohomology of adjoint semisimple groups

Merkurjev, Alexander S.

Journal:

Mathematische Zeitschrift

Year:

2017

Language:

english

File:

PDF, 612 KB

english, 2017

33

Rost invariant of the center, revisited

Garibaldi, Ryan, Merkurjev, Alexander

Journal:

Pacific Journal of Mathematics

Year:

2017

Language:

english

File:

PDF, 437 KB

english, 2017

34

Excellence of function fields of conics

Merkurjev, Alexander, Tignol, Jean-Pierre

Journal:

L'Enseignement Mathématique

Year:

2016

Language:

english

File:

PDF, 388 KB

english, 2016

35

Degree three cohomological invariants of semisimple groups

Merkurjev, Alexander

Journal:

Journal of the European Mathematical Society

Year:

2016

Language:

english

File:

PDF, 226 KB

english, 2016

36

Quadratic Forms and Linear Algebraic Groups

Hoffmann, Detlev, Merkurjev, Alexander, Tignol, Jean-Pierre

Journal:

Oberwolfach Reports

Year:

2006

File:

PDF, 453 KB

2006

37

Essential dimension

Merkurjev, Alexander S.

Journal:

Bulletin of the American Mathematical Society

Year:

2016

File:

PDF, 358 KB

2016