Exceptional collections on some fake quadrics

Lee, Kyoung-Seog; Shabalin, Timofey

doi:10.1090/proc/13705

Exceptional collections on some fake quadrics
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by Kyoung-Seog Lee and Timofey Shabalin PDF

Proc. Amer. Math. Soc. 146 (2018), 2299-2313 Request permission

Abstract:

We construct exceptional collections of maximal length on four families of surfaces of general type with $p_g=q=0$ which are isogenous to a product of curves. From these constructions we obtain new examples of quasiphantom categories as their orthogonal complements.

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