Search Results - "Merkurjev, Alexander"

Degree three unramified cohomology of adjoint semisimple groups by Merkurjev, Alexander S.

“…We compute degree 3 unramified cohomology of adjoint semisimple group. New classes of non-rational adjoint semisimple groups are found…”
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Connective $K$-theory and Adams operations by Haution, Olivier, Merkurjev, Alexander

“…We investigate the relations between the Grothendieck group of coherent modules of an algebraic variety and its Chow group of algebraic cycles modulo rational…”
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Chow Filtration on Representation Rings of Algebraic Groups by Karpenko, Nikita A, Merkurjev, Alexander S

“…Abstract We introduce and study a filtration on the representation ring $R(G)$ of an affine algebraic group $G$ over a field. This filtration, which we call…”
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Rationality Problem for Classifying Spaces of Spinor Groups by Merkurjev, Alexander S.

“…We study stable rationality and retract rationality properties of the classifying spaces of split spinor groups Spin n over a field F of characteristic…”
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Rost invariant of the center, revisited by Garibaldi, Ryan, Merkurjev, Alexander

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Maximal indexes of flag varieties for spin groups by Devyatov, Rostislav A., Karpenko, Nikita A., Merkurjev, Alexander S.

“…We establish the sharp upper bounds on the indexes for most of the twisted flag varieties under the spin groups ${\operatorname {\mathrm {Spin}}(n)}$…”
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Essential dimension of finite p-groups by Karpenko, Nikita A., Merkurjev, Alexander S.

“…We prove that the essential dimension and p -dimension of a p -group G over a field F containing a primitive p -th root of unity is equal to the least…”
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Essential dimension of central simple algebras by Baek, Sanghoon, Merkurjev, Alexander S.

“…Let p be a prime integer, 1≤ s ≤ r be integers and F be a field of characteristic different from p . We find upper and lower bounds for the essential p…”
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Motivic decomposition of certain special linear groups by MERKURJEV, ALEXANDER S.

“…We compute the motive of the algebraic group G=\operatorname {\mathbf {SL}}_1(D) for a central simple algebra D of prime degree over a perfect field. As an…”
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Motivic cohomology of the simplicial motive of a Rost variety by Merkurjev, Alexander, Suslin, Andrei

“…We compute the motivic cohomology groups of the simplicial motive X θ of a Rost variety for an n -symbol θ in Galois cohomology of a field. As an application…”
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Milnor's Lemma, Newton's Method, and Continued Fractions by Bekker, Boris M, Ivanov, Oleg A, Merkurjev, Alexander S

“…Let f be a quadratic map of the Riemann sphere S2 into itself. Such a map has three fixed points, counted with multiplicity. Let ...1, ...2, and ...3 be the…”
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Essential dimension by Merkurjev, Alexander

“…In this paper we survey research on the essential dimension that was introduced by J. Buhler and Z. Reichstein. Informally speaking, the essential dimension of…”
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Classification of Special Reductive Groups by Merkurjev, Alexander

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The mathematics of Andrei Suslin by Friedlander, Eric, Merkurjev, Alexander

“…Andrei Suslin (1950-2018) was both friend and mentor to us. This article discusses some of his many mathematical achievements, focusing on the role he played…”
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Degenerate fourfold Massey products over arbitrary fields by Merkurjev, Alexander, Scavia, Federico

“…We prove that, for all fields F of characteristic different from 2 and all a,b,c\in F^{\times} , the mod 2 Massey product \langle a,b,c,a\rangle vanishes as…”
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Negligible degree two cohomology of finite groups by Gherman, Matthew, Merkurjev, Alexander

“…For a finite group G, a G-module M and a field F, an element u∈Hd(G,M) is negligible over F if for each field extension L/F and every group homomorphism…”
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Additive operations between connective K-theory and Chow theory by Merkurjev, Alexander S.

“…We determine all additive operations, stable and unstable, between connective K-theory and Chow theory modulo a prime integer p. It is proved the module of all…”
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Invariants of algebraic tori of degree and weight 2 by Merkurjev, Alexander, Wertheim, Alexander

“…We determine the group of cohomological invariants of algebraic tori of degree and weight 2…”
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Suslin’s conjecture on the reduced Whitehead group of a simple algebra by Merkurjev, Alexander

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Indexes of generic Grassmannians for spin groups by Karpenko, Nikita A., Merkurjev, Alexander S.

“…Given integers d$d$ and m$m$, satisfying 1⩽m⩽d/2$1\leqslant m\leqslant d/2$, and an arbitrary base field, let Xm$X_m$ be the m$m$th Grassmannian of a generic…”
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