Zobrazeno 1 - 10
of 70
pro vyhledávání: '"MERKURJEV, ALEXANDER S."'
Publikováno v:
EMS Surv. Math. Sci. 8 (2021), no.1-2, 135--162
We investigate the relations between the Grothendieck group of coherent modules of an algebraic variety and its Chow group of algebraic cycles modulo rational equivalence. Those are in essence torsion phenomena, which we attempt to control by conside
Externí odkaz:
http://arxiv.org/abs/2001.05882
For every generalized quadratic form or hermitian form over a division algebra, the anisotropic kernel of the form obtained by scalar extension to the function field of a smooth projective conic is defined over the field of constants. The proof does
Externí odkaz:
http://arxiv.org/abs/1512.00236
Let D be a central simple algebra of prime degree over a field and let E be an SL_1(D)-torsor. We determine the complete motivic decomposition of certain compactifications of E. We also compute the Chow ring of E.
Comment: 18 pages
Comment: 18 pages
Externí odkaz:
http://arxiv.org/abs/1402.5520
Let $p$ be a prime integer and $F$ a field of characteristic 0. Let $X$ be the {\em norm variety} of a symbol in the Galois cohomology group $H^{n+1}(F,\mu_p^{\otimes n})$ (for some $n\geq1$), constructed in the proof of the Bloch-Kato conjecture. Th
Externí odkaz:
http://arxiv.org/abs/1201.1257
The "canonical dimension" of an algebraic group over a field by definition is the maximum of the canonical dimensions of principal homogenous spaces under that group. Over a field of characteristic zero, we prove that the canonical dimension of the p
Externí odkaz:
http://arxiv.org/abs/math/0611777
Autor:
MERKURJEV, ALEXANDER S.
Publikováno v:
Transactions of the American Mathematical Society, 2017 Jan 01. 369(1), 555-574.
Externí odkaz:
https://www.jstor.org/stable/tranamermathsoci.369.1.555
Publikováno v:
In Advances in Mathematics 7 November 2017 320:876-886
Autor:
FRIEDLANDER, ERIC M.1 ericmf@usc.edu, MERKURJEV, ALEXANDER S.2 merkurev@math.ucla.edu
Publikováno v:
Bulletin (New Series) of the American Mathematical Society. Jan2020, Vol. 57 Issue 1, p1-22. 22p.