Singular Del Pezzo surfaces whose universal torsors are hypersurfaces

Details Singular Del Pezzo surfaces whose universal torsors are hypersurfaces Singular Del Pezzo surfaces whose universal torsors are hypersurfaces

2006-04-10

arxiv.org/abs/math/0604194v1

Mathematics

Algebraic Geometry

30 pages

Scientific paper

We classify all singular Del Pezzo surfaces of degree three or greater whose
universal torsor is an open subset of a hypersurface in affine space.
Equivalently, their Cox ring is a polynomial ring with exactly one relation.
For all 20 types with this property, we describe the Cox ring in detail.

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