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Algebraic and Complex Geometry Seminar
Birational geometry of moduli space of del Pezzo pairs
Birational geometry of moduli space of del Pezzo pairs
Organizer
Speaker
Fei Si
Time
Tuesday, November 11, 2025 3:00 PM - 4:00 PM
Venue
Online
Online
Zoom 293 812 9202
(BIMSA)
Abstract
Let $P_d$ be the moduli space of pairs $(X,C)$ where $X$ is a smooth del Pezzo surface and $C\sim -2K_X$ is a smooth curve. In this talk we will introduce compactifications for the moduli space $P_d$ from three perspectives: GIT, Hodge theory and K-stability. The precise relationships of these compactifications will be discussed.