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arxiv: 1605.01280 · v3 · pith:2BPQZ7M6new · submitted 2016-05-04 · 🧮 math.AG

Torsion exceptional sheaves on weak del Pezzo surfaces of Type A

classification 🧮 math.AG
keywords exceptionaltorsionpezzosheavesweakactinganticanonicalbundle
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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.

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