Skip to content
Licensed Unlicensed Requires Authentication Published by De Gruyter April 23, 2013

Toric varieties, monoid schemes and cdh descent

  • Guillermo Cortiñas EMAIL logo , Christian Haesemeyer , Mark E. Walker and Charles Weibel

Abstract

We give conditions for the Mayer–Vietoris property to hold for the algebraic K-theory of blow-up squares of toric varieties and schemes, using the theory of monoid schemes. These conditions are used to relate algebraic K-theory to topological cyclic homology in characteristic p. To achieve our goals, we develop many notions for monoid schemes based on classical algebraic geometry, such as separated and proper maps and resolution of singularities.

Funding source: Conicet

Funding source: Feder

Award Identifier / Grant number: PIP 112-200801-00900

Funding source: Feder

Award Identifier / Grant number: MTM2007-64704

Funding source: Feder

Award Identifier / Grant number: UBACyT W386

Funding source: NSF

Award Identifier / Grant number: DMS-0966821

Funding source: NSF

Award Identifier / Grant number: DMS-0601666

Funding source: NSA

The authors would like to thank the referee for a careful reading, for suggesting the notion of a monoid poset and for the current proof of Lemma 5.5.

Received: 2011-5-31
Revised: 2012-8-6
Published Online: 2013-4-23
Published in Print: 2015-1-1

© 2015 by De Gruyter

Downloaded on 28.3.2024 from https://www.degruyter.com/document/doi/10.1515/crelle-2012-0123/html
Scroll to top button