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Shigeru Mukai, Moduli of Abelian Surfaces, Polyhedral Groups and Fano 3-folds of Degree 22 (Part 2)

May 22 @ 4:00 pm - 5:00 pm KST

B236-1, IBS Korea, Republic of


Shigeru Mukai
RIMS, Kyoto University

I will discuss the moduli space of abelian surfaces with bi-level structure of type (1, d) for d = 2, 3, 4, 5.

Part 1: Their Satake compactification is the projective 3-space P3 for d = 2, 3, 4.

Part 2: It is a small contraction of the blow-up of P3 at 60 points for d = 5. I give two proofs. One is analytic and uses good automorphic forms constructed by Gritsenko-Nilulin. The other is algebraic and uses U22, one of the Umemura 3-folds, and Reye congruences.


May 22
4:00 pm - 5:00 pm KST
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IBS Korea, Republic of


Yongnam Lee
IBS 복소기하학연구단 Center for Complex Geometry
기초과학연구원 복소기하학연구단
대전 유성구 엑스포로 55 (우) 34126
IBS Center for Complex Geometry
Institute for Basic Science (IBS)
55 Expo-ro Yuseong-gu Daejeon 34126 South Korea
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