Toric varieties, monoid schemes and $cdh$ descent

Details Toric varieties, monoid schemes and $cdh$ descent Toric varieties, monoid schemes and $cdh$ descent

2011-06-07

arxiv.org/abs/1106.1389v1

Mathematics

K-Theory and Homology

Scientific paper

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.

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