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The Cox Ring of a Del Pezzo Surface Has Rational Singularities | Oleg N. Popov
; | Date: |
10 Feb 2004 | Subject: | Algebraic Geometry MSC-class: 14J26; 14J17 | math.AG | Abstract: | 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. | Source: | arXiv, math.AG/0402154 | Services: | Forum | Review | PDF | Favorites |
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