中文

On the semistability of instanton sheaves over certain projective varieties

代数几何 2010-05-06 v1

摘要

We show that instanton bundles of rank r2n1r\le 2n-1, defined as the cohomology of certain linear monads, on an nn-dimensional projective variety with cyclic Picard group are semistable in the sense of Mumford-Takemoto. Furthermore, we show that rank rnr\le n linear bundles with nonzero first Chern class over such varieties are stable. We also show that these bounds are sharp.

引用

@article{arxiv.math/0603246,
  title  = {On the semistability of instanton sheaves over certain projective varieties},
  author = {Marcos Jardim and Rosa M. Miró-Roig},
  journal= {arXiv preprint arXiv:math/0603246},
  year   = {2010}
}

备注

19pages, To appear in Communications in Algebra (2008)