Minimal model program for semi-stable threefolds in mixed characteristic

Abstract: The minimal model program, which is a theory to construct a birational model of a variety which is as simple as possible, is a very strong method in algebraic geometry. The minimal model program is also studied for more general schemes not necessarily defined　over a field, and play an important role in studies of reductions of varieties. Kawamata showed that the minimal model program holds for strictly semi-stable schemes over　an excellent Dedekind scheme of relative dimension two whose each residue characteristic is neither 2 nor 3. In this talk, I will introduce a generalization of the result of Kawamata without any assumption on the residue characteristic. This talk is based on a joint work with Shou Yoshikawa.

algebraic geometrynumber theory

Audience: researchers in the topic

( paper | slides )

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MIT number theory seminar

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