Zobrazeno 1 - 10
of 73
pro vyhledávání: '"Haesemeyer, Christian"'
In this article we prove that all the inclusions between the 'classical' and naturally defined full triangulated subcategories of a weakly approximable triangulated category are intrinsic (in one case under a technical condition). This extends all th
Externí odkaz:
http://arxiv.org/abs/2402.04605
We establish upper bounds of the indices of topological Brauer classes over a closed orientable 8-manifolds. In particular, we verify the Topological Period-Index Conjecture (TPIC) for topological Brauer classes over closed orientable 8-manifolds of
Externí odkaz:
http://arxiv.org/abs/1911.07206
This paper studies the K-theory of categories of partially cancellative monoid sets, which is better behaved than that of all finitely generated monoid sets. A number of foundational results are proved, making use of the formalism of CGW-categories d
Externí odkaz:
http://arxiv.org/abs/1909.00297
We give a $K$-theoretic criterion for a quasi-projective variety to be smooth. If $\mathbb{L}$ is a line bundle corresponding to an ample invertible sheaf on $X$, it suffices that $K_q(X) = K_q(\mathbb{L})$ for all $q\le\dim(X)+1$.
Comment: 11 p
Comment: 11 p
Externí odkaz:
http://arxiv.org/abs/1707.01192
We show that if $X$ is a toric scheme over a regular commutative ring $k$ then the direct limit of the $K$-groups of $X$ taken over any infinite sequence of nontrivial dilations is homotopy invariant. This theorem was previously known for regular com
Externí odkaz:
http://arxiv.org/abs/1703.07881
We show that if X is a toric scheme over a regular ring containing a field then the direct limit of the K-groups of X taken over any infinite sequence of nontrivial dilations is homotopy invariant. This theorem was known in characteristic 0. The affi
Externí odkaz:
http://arxiv.org/abs/1207.2891
Autor:
Asok, Aravind, Haesemeyer, Christian
We study the 0-th stable A^1-homotopy sheaf of a smooth proper variety over a field k assumed to be infinite, perfect and to have characteristic unequal to 2. We provide an explicit description of this sheaf in terms of the theory of (twisted) Chow-W
Externí odkaz:
http://arxiv.org/abs/1108.3854
We give conditions for the Mayer-Vietoris property to hold for the algebraic K-theory of blow-up squares of toric varieties in any characteristic, using the theory of monoid schemes. These conditions are used to relate algebraic K-theory to topologic
Externí odkaz:
http://arxiv.org/abs/1106.1389
Autor:
Asok, Aravind, Haesemeyer, Christian
We prove that existence of a k-rational point can be detected by the stable A^1-homotopy category of S^1-spectra, or even a "rationalized" variant of this category.
Comment: 6 pages; various minor additions and corrections, to appear in J Pure A
Comment: 6 pages; various minor additions and corrections, to appear in J Pure A
Externí odkaz:
http://arxiv.org/abs/1011.3186