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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 208: Seminar in Algebraic Geometry
Dr. Iacopo Brivio
Harvard University
Non-Extendable MMPs
Abstract:
It was observed by Kollár that the moduli functor of stable varieties in characteristic p>0 is no longer proper when one considers varieties of dimension ≥ 3. The key point is the existence of families of plt good minimal models of general type for which taking the relative canonical model does not commute with base change. I am going to illustrate an example showing that this kind of pathological behavior is not limited to the relative canonical model, but can indeed occur for any step of the relative MMP.
Host: James McKernan
May 15, 2026
4:00 PM
APM 7321
Research Areas
Algebraic Geometry****************************
