English

ACM sheaves of pure rank two on reducible hyperquadrics

Algebraic Geometry 2017-07-28 v3 Commutative Algebra Representation Theory

Abstract

We classify a special type of arithmetically Cohen-Macaulay sheaves of rank two on reducible and reduced quadric hypersurfaces. As a consequence we show that a reducible and reduced quadric surface is of wild type.

Keywords

Cite

@article{arxiv.1508.01632,
  title  = {ACM sheaves of pure rank two on reducible hyperquadrics},
  author = {Edoardo Ballico and Sukmoon Huh and Joan Pons-Llopis},
  journal= {arXiv preprint arXiv:1508.01632},
  year   = {2017}
}

Comments

16 pages; Many changes; Comments welcome