Enumerating exceptional collections on some surfaces of general type with p g = 0
نویسنده
چکیده
We use constructions of surfaces as abelian covers to write down exceptional collections of maximal length for every surface X in certain families of surfaces of general type with pg = 0 and K X = 3, 4, 5, 6, 8. We also compute the algebra of derived endomorphisms for an appropriately chosen exceptional collection, and the Hochschild cohomology of the corresponding quasiphantom category. As a consequence, we see that the subcategory generated by the exceptional collection does not vary in the family of surfaces.
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