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arXiv:math/0402154 [math.AG]AbstractReferencesReviewsResources

The Cox Ring of a Del Pezzo Surface Has Rational Singularities

Oleg N. Popov

Published 2004-02-10Version 1

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, called the Cox ring. We show that in characteristic 0 this ring is Gorenstein and its spectrum has rational singularities. Also a gap in math.AG/0309111 is pointed out.

Comments: 12 pages, LateX, uses XY-Pic
Categories: math.AG
Subjects: 14J26, 14J17
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arXiv:math/0603111 [math.AG] (Published 2006-03-04)
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arXiv:0901.4277 [math.AG] (Published 2009-01-27, updated 2010-03-03)
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