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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
Tai-Hsuan Chung
UCSD
Stable Reduction via the Log Canonical Model
Abstract:
We will discuss a natural perspective on stable reduction that extends Deligne--Mumford's stable reduction for curves to higher dimensions. From this perspective, we will outline a new proof of the Hacon--Kovács theorem on the properness of the moduli stack $\overline{\mathscr{M}}_{2,v,k}$ of stable surfaces of volume $v$ defined over $k=\overline{k}$, provided that $\operatorname{char}k>C(v)$, a constant depending only on $v$.
November 22, 2024
4:00 PM
APM 7321
Research Areas
Algebraic Geometry****************************
