Rank 2 arithmetically Cohen-Macaulay bundles on a nonsingular cubic surface
Algebraic Geometry
2016-09-07 v2 Commutative Algebra
Abstract
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.
Cite
@article{arxiv.math/0504492,
title = {Rank 2 arithmetically Cohen-Macaulay bundles on a nonsingular cubic surface},
author = {Daniele Faenzi},
journal= {arXiv preprint arXiv:math/0504492},
year = {2016}
}
Comments
42 pages. Substantially revised version