Del Pezzo moduli via root systems
Algebraic Geometry
2007-05-23 v1
Abstract
Coble defined in his 1929 treatise invariants for cubic surfaces and quartic curves. We reinterpret these in terms of the root systems of type E_6 and E_7 that are naturally associated to these varieties, thereby giving some of his results a more intrinsic treatment. Our discussion is uniform for all Del Pezzo surfaces of degree 2,3,4 and 5.
Cite
@article{arxiv.math/0702442,
title = {Del Pezzo moduli via root systems},
author = {Elisabetta Colombo and Bert van Geemen and Eduard Looijenga},
journal= {arXiv preprint arXiv:math/0702442},
year = {2007}
}
Comments
46 pages