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Duality of (1, 5)–polarized abelian surfaces

✍ Scribed by Franck Melliez

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
407 KB
Volume
253
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

There is not many open questions about the moduli space of (1, 5)–polarized abelian surfaces and level structure, it has been carefully studied by Barth, Hulek and Moore in the 80's. The goal of this paper is to give a description of the moduli space of (1, 5)–polarized abelian surfaces (without level structure) up to duality. We prove that an open set of this moduli space is isomorphic to an open set of the moduli space of sextuplets of points on a complex projective line (up to homographies) and we study what happens on the boundary.

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