The 𝐾-theory of toric varieties-Reference-Cited by-同舟云学术

The 𝐾-theory of toric varieties

Published:2008-12-31 Issue:6 Volume:361 Page:3325-3341
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Cortiñas G.,Haesemeyer C.,Walker Mark,Weibel C.

Abstract

Recent advances in computational techniques for K K -theory allow us to describe the K K -theory of toric varieties in terms of the K K -theory of fields and simple cohomological data.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2009-361-06/S0002-9947-08-04750-8/S0002-9947-08-04750-8.pdf

Reference28 articles.

1. The obstruction to excision in 𝐾-theory and in cyclic homology;Cortiñas, Guillermo;Invent. Math.,2006

2. Cyclic homology, cdh-cohomology and negative 𝐾-theory;Cortiñas, G.;Ann. of Math. (2),2008

3. 𝐾-regularity, 𝑐𝑑ℎ-fibrant Hochschild homology, and a conjecture of Vorst;Cortiñas, G.;J. Amer. Math. Soc.,2008

4. G. Cortiñas, C. Haesemeyer and C. Weibel, Infinitesimal cohomology and the Chern character to negative cyclic homology, Preprint, available at http://www.math.uiuc.edu/K-theory/0824/, 2007.

5. The geometry of toric varieties;Danilov, V. I.;Uspekhi Mat. Nauk,1978

Cited by 18 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The cohomological Brauer group of weighted projective spaces and stacks;Pacific Journal of Mathematics;2023-07-26

2. K-theoretic balancing conditions and the Grothendieck group of a toric variety;Journal of Algebra;2022-12

3. K-theory and the singularity category of quotient singularities;Annals of K-Theory;2021-09-11

4. Negative -theory and Chow group of monoid algebras;-theory in Algebra, Analysis and Topology;2020

5. Murthy’s conjecture on 0-cycles;Inventiones mathematicae;2019-03-22