Universal torsors of Del Pezzo surfaces and homogeneous spaces
Algebraic Geometry
2007-05-23 v3
Abstract
Let Cox(S) be the homogeneous coordinate ring of the blow-up S of P^2 in r general points, i.e., a smooth Del Pezzo surface of degree 9-r. We prove that for r=6 and 7, Proj(Cox(S)) can be embedded into G/P, where G is an algebraic group with root system given by the primitive Picard lattice of S and P is a certain maximal parabolic subgroup in G.
Keywords
Cite
@article{arxiv.math/0604195,
title = {Universal torsors of Del Pezzo surfaces and homogeneous spaces},
author = {Ulrich Derenthal},
journal= {arXiv preprint arXiv:math/0604195},
year = {2007}
}
Comments
15 pages