most citedThe Cox Ring of a Del Pezzo Surface Has Rational Singularities

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math.AG2004★ 13 cited

The Cox Ring of a Del Pezzo Surface Has Rational Singularities

Oleg N. Popov

For a smooth Del Pezzo surface the direct sum of global sections of all isomorphism classes of invertible sheaves on it can be almost canonically endowed with a ring structure, cal…

math.AG2003

The Cox ring of a Del Pezzo surface

Victor V. Batyrev, Oleg N. Popov

Let be a smooth Del Pezzo surface obtained from by blowing up points in general position. It is well known that for the Picard group…