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

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

2005-04-24

arxiv.org/abs/math/0504492v2

Mathematics

Algebraic Geometry

42 pages. Substantially revised version

Scientific paper

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.

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