K-theory of log-schemes I

被引：0

作者：

Niziol, Wieslawa ^{[1
]}

机构：

[1] Univ Utah, Coll Sci, Dept Math, Salt Lake City, UT 84112 USA

来源：

DOCUMENTA MATHEMATICA | 2008年 / 13卷

关键词：

K-theory; topological K-theory; log-schemes;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We set down some basic facts about the algebraic and topological K-theory of log-schemes. In particular, we show that the l-adic topological log-etale K-theory of log-regular schemes computes the l-adic etale K-theory of the largest open sets where the log-structure is trivial.

引用

页码：505 / 551

页数：47

共 50 条

[21] Comparison of exterior power operations on higher K-theory of schemes
Kock, Bernhard
Zanchetta, Ferdinando
MATHEMATISCHE ZEITSCHRIFT, 2025, 309 (04)
[22] A splitting result for the algebraic K-theory of projective toric schemes
Thomas Hüttemann
Journal of Homotopy and Related Structures, 2012, 7 : 1 - 30
[23] SOME FORMULAS PERTAINING TO K-THEORY OF COMMUTATIVE GROUP SCHEMES
BLOCH, S
JOURNAL OF ALGEBRA, 1978, 53 (02) : 304 - 326
[24] Equivariant K-theory of Hilbert schemes via shuffle algebra
Feigin, B. L.
Tsymbaliuk, A. I.
KYOTO JOURNAL OF MATHEMATICS, 2011, 51 (04) : 831 - 854
[25] Witt, GW, K-theory of quasi-projective schemes
Mandal, Satya
JOURNAL OF PURE AND APPLIED ALGEBRA, 2017, 221 (02) : 286 - 303
[26] Noncommutative localisation in algebraic K-theory I
Neeman, A
Ranicki, A
GEOMETRY & TOPOLOGY, 2004, 8 : 1385 - 1425
[27] Loop groups and twisted K-theory I
Freed, Daniel S.
Hopkins, Michael J.
Teleman, Constantin
JOURNAL OF TOPOLOGY, 2011, 4 (04) : 737 - 798
[28] K-theory, Hermitian K-theory and the Karoubi Tower
Kobal, D
K-THEORY, 1999, 17 (02): : 113 - 140
[29] On the algebraic K-theory of the complex K-theory spectrum
Christian Ausoni
Inventiones mathematicae, 2010, 180 : 611 - 668
[30] THE RELATION OF QUADRATIC K-THEORY TO HERMITIAN K-THEORY
GIFFEN, CH
COMMUNICATIONS IN ALGEBRA, 1987, 15 (05) : 971 - 984

← 1 2 3 4 5 →