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比利时vs摩洛哥足彩 ,
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

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