arXiv:math/0504492 Abstract

arXiv:math/0504492 [math.AG]Abstract References Reviews Resources

Rank 2 arithmetically Cohen-Macaulay bundles on a nonsingular cubic surface

Published 2005-04-24, updated 2006-07-27Version 2

Rank 2 indecomposable arithmetically Cohen-Macaulay bundles E on a nonsingular cubic surface X in P^3 are classified, by means of the possible forms taken by the minimal graded free resolution of E over P^3. The admissible values of the Chern classes of E are listed and the vanishing locus of a general section of E is studied. Properties of E such as (semi) stability and simplicity are investigated; the number of relevant families is computed together with their dimension.

Comments: 42 pages. Substantially revised version

Categories: math.AG, math.AC

Subjects: 14J60, 13C14, 14F05, 14D20

Keywords: nonsingular cubic surface, minimal graded free resolution, indecomposable arithmetically cohen-macaulay bundles, forms taken, general section

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