Results 11 to 20 of about 520 (52)
Framed transfers and motivic fundamental classes
Journal of Topology, Volume 13, Issue 2, Page 460-500, June 2020., 2020 Abstract We relate the recognition principle for infinite P1‐loop spaces to the theory of motivic fundamental classes of Déglise, Jin and Khan. We first compare two kinds of transfers that are naturally defined on cohomology theories represented by motivic spectra: the framed transfers given by the recognition principle, which arise from Voevodsky's ...
Elden Elmanto +4 more
wiley +1 more source
A remark on the Tate conjecture [PDF]
, 2018 The Tate conjecture has two parts: an assertion (S) about semisimplicity of Galois representations, and an assertion (T) which says that every Tate class is algebraic. We show that in characteristic 0, (T) implies (S).
Moonen, Ben
core +2 more sources
Incompressibility of orthogonal grassmannians [PDF]
, 2011 We prove the following conjecture due to Bryant Mathews (2008). Let Q be the orthogonal grassmannian of totally isotropic i-planes of a non-degenerate quadratic form q over an arbitrary field (where i is an integer in the interval [1, (\dim q)/2]).
Karpenko, Nikita A.
core +5 more sources
Abstract and Applied Analysis, Volume 2003, Issue 10, Page 573-589, 2003., 2003 This paper deals with weak solution in weighted Sobolev spaces, of three‐point boundary value problems which combine Dirichlet and integral conditions, for linear and quasilinear parabolic equations in a domain with curved lateral boundaries. We, firstly, prove the existence, uniqueness, and continuous dependence of the solution for the linear equation.
Abdelfatah Bouziani
wiley +1 more source
Some Calabi-Yau fourfolds verifying Voisin's conjecture [PDF]
, 2017 Motivated by the Bloch-Beilinson conjectures, Voisin has made a conjecture concerning the behaviour of zero-cycles on self-products of Calabi-Yau varieties. This note contains some examples of Calabi-Yau fourfolds verifying Voisin's conjecture.Comment: 8
Laterveer, Robert
core +1 more source
Stably free modules over smooth affine threefolds [PDF]
, 2011 We prove that the stably free modules over a smooth affine threefold over an algebraically closed field of characteristic different from 2 are free.Comment: 11 ...
Fasel, Jean
core +1 more source
NORMAL FUNCTIONS FOR ALGEBRAICALLY TRIVIAL CYCLES ARE ALGEBRAIC FOR ARITHMETIC REASONS
Forum of Mathematics, Sigma, 2019 For families of smooth complex projective varieties, we show that normal functions arising from algebraically trivial cycle classes are algebraic and defined over the field of definition of the family.
JEFFREY D. ACHTER +2 more
doaj +1 more source
There is no degree map for 0-cycles on Artin stacks
, 2012 We show that there is no way to define degrees of 0-cycles on Artin stacks with proper good moduli spaces so that (i) the degree of an ordinary point is non-zero, and (ii) degrees are compatible with closed immersions.Comment: 3 ...
A Kresch +8 more
core +1 more source
THE MOTIVE OF THE HILBERT CUBE $X^{[3]}$
Forum of Mathematics, Sigma, 2016 The Hilbert scheme $X^{[3]}$ of length-3 subschemes of a smooth projective variety $X$
MINGMIN SHEN, CHARLES VIAL
doaj +1 more source
Yet another version of Mumford's theorem
, 2015 The aim of this note is to provide a variant statement of Mumford's theorem. This variant states that for a general variety, all Chow groups are "as large as possible", in the sense that they cannot be supported on a divisor.Comment: 7 pages.
Laterveer, Robert
core +1 more source