Toric varieties, monoid schemes and cdh descent.

GUILLERMO CORTIÑAS; CHRISTIAN HAESEMEYER; MARK E. WALKER; CHARLES A. WEIBEL

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK

WALTER DE GRUYTER & CO

Lugar: Berlin; Año: 2012

0075-4102

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 topological cyclic homology in characteristic p. To achieve our goals, we develop for monoid schemes many notions from classical algebraic geometry, such as separated and proper maps.