Hold Date

2019-11-01 16:00〜2019-11-01 17:00

Place

Lecture Room M W1-C-513, West Zone 1, Ito campus, Kyushu University

Object person

researchers and graduate students　

Speaker

Atsushi IKEDA (Tokyo Denki University)

Abstract:
Prym variety is a polarized abelian variety constructed from a double covering of a nonsingular projective curve. The construction defines the Prym map from the moduli space of coverings to the moduli space of polarized abelian varieties. We discuss the injectivity of the Prym maps under a suitable condition on the dimension of the moduli spaces. It is known that the Prym map is generically injective, but it is not injective in general. In this talk, we state that the Prym maps are injective for double coverings of elliptic curves, and explain how the covering is reconstructed from the polarized abelian variety.


* This seminar is combined with Algebra Seminar.