English

Bundles on the Fano threefold V_5

Algebraic Geometry 2007-05-23 v1

Abstract

Using an explicit resolution of the diagonal for the variety V_5, we provide cohomological characterizations of the universal and quotient bundles. A splitting criterion for bundles over V_5 is also proved. The presentation of semistable aCM (i.e. with no intermediate cohomology) bundles is shown, together with a resolution-theoretic classification of low rank aCM bundles.

Keywords

Cite

@article{arxiv.math/0407293,
  title  = {Bundles on the Fano threefold V_5},
  author = {Daniele Faenzi},
  journal= {arXiv preprint arXiv:math/0407293},
  year   = {2007}
}

Comments

18 pages. To appear in Communications in Algebra

R2 v1 2026-07-22T17:07:53.251Z