Artículos de revistas
Toric varieties, monoid schemes and cdh descent
Date
2013-04Registration in:
Cortiñas, Guillermo Horacio; Haesemeyer, Christian; Walker, Mark E.; Weibel, Charles A.; Toric varieties, monoid schemes and cdh descent; de Gruyter; Journal Fur Die Reine Und Angewandte Mathematik; 2015; 698; 4-2013; 1-50
0075-4102
Author
Cortiñas, Guillermo Horacio
Haesemeyer, Christian
Walker, Mark E.
Weibel, Charles A.
Abstract
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.