Del Pezzo moduli via root systems

Colombo, Elisabetta; van Geemen, Bert; Looijenga, Eduard
Bibliographical reference

eprint arXiv:math/0702442

Advertised on:
2
2007
Number of authors
3
IAC number of authors
0
Citations
2
Refereed citations
0
Description
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.