OSU Mathematics Seminars and Colloquia
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Tue, Mar 12, 2024
Algebraic Geometry Seminar
3:00 PM
Zoom
Revisiting the moduli of Surfaces of General Type via Abelian Covers
Patricio Gallardo, University of California at Riverside
Host: Jayan Mukherjee
[Abstract] [PDF]
Abstract: In this talk, we will describe the construction of surfaces of general type via abelian covers, as introduced by R. Pardini. We will then utilize this method to explore the invariants obtained through such techniques. In particular, we will describe hypotheses under which this technique generates an entire moduli space component and how specific branch locus degenerations induce boundary loci in the corresponding KSBA compactification of the moduli space. This work is a collaboration with Jayan Mukherjee and builds upon previous research with L. Schaffler, G. Pearlstein, and Z. Zhang.
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