Moduli of (1,7)-polarized abelian surfaces via syzygies
Algebraic Geometry
2007-05-23 v1 Commutative Algebra
Abstract
We prove that the moduli space X(1,7) of (1,7)-polarized abelian surfaces with canonical level structure is birational to the Fano 3-fold V22 of polar hexagons of the Klein quartic X(7). In particular X(1,7) is rational and the birational map to P^3 is defined over Q. As a byproduct we obtain explicitely the equations of the (1,7)-very-ample polarized abelian surfaces in P^6.
Cite
@article{arxiv.math/9812121,
title = {Moduli of (1,7)-polarized abelian surfaces via syzygies},
author = {N. Manolache and F. -O. Schreyer},
journal= {arXiv preprint arXiv:math/9812121},
year = {2007}
}
Comments
20 pages, TeX