Torsion exceptional sheaves on weak del Pezzo surfaces of Type A

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.

arXiv comment22 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

References in corpus (2)

• Del Pezzo surfaces with Du Val singularities
• Exceptional sheaves on the Hirzebruch surface ${\mathbb{F}}_2$

Cited by in corpus (1)

• Note on Applications of Toric Systems on Surfaces