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Duality of (1, 5)–polarized abelian surfaces
Author(s) -
Melliez Franck
Publication year - 2003
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200310045
Subject(s) - moduli space , mathematics , abelian group , moduli of algebraic curves , pure mathematics , modular equation , projective line , open set , duality (order theory) , projective space , space (punctuation) , boundary (topology) , mathematical analysis , projective test , computer science , operating system
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.