Torsion exceptional sheaves on weak del Pezzo surfaces of Type A

Pu Cao; Chen Jiang

doi:10.1016/j.jalgebra.2017.12.008

Torsion exceptional sheaves on weak del Pezzo surfaces of Type A

Algebraic Geometry 2018-02-05 v3

Authors: Pu Cao , Chen Jiang

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Abstract

We investigate torsion exceptional sheaves on a weak del Pezzo surface of degree greater than two whose anticanonical model has at most $A_n$ -singularities. We show that every torsion exceptional sheaf can be obtained from a line bundle on a $(-1)$ -curve by acting spherical twist functors successively.

Keywords

torsion exceptional sheaves weak del pezzo surfaces spherical twist functors line bundles (-1)-curves anticanonical models A_n-singularities

Cite

@article{arxiv.1605.01280,
  title  = {Torsion exceptional sheaves on weak del Pezzo surfaces of Type A},
  author = {Pu Cao and Chen Jiang},
  journal= {arXiv preprint arXiv:1605.01280},
  year   = {2018}
}

Comments

22 pages. Comments are welcome; v2: typos and statements in section 3 are corrected, other sections remains unchanged; v3: final version, to appear in J. Algebra

Torsion exceptional sheaves on weak del Pezzo surfaces of Type A

Abstract

Keywords

Cite

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