Torsion exceptional sheaves on weak del Pezzo surfaces of Type A
arXiv:1605.01280 · doi:10.1016/j.jalgebra.2017.12.008
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.
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