Toric Varieties, Monoid Schemes and cdh descent, by Guillermo Cortiñas, Christian Haesemeyer, Mark Walker, and Chuck Weibel

We give conditions for the Mayer-Vietoris property to hold for the algebraic K-theory of blow-up squares of toric varieties, 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 and resolution of singularities.

Guillermo Cortiñas <>
Christian Haesemeyer <>
Mark Walker <>
Chuck Weibel <>