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.References
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Additional Information
- Kyoung-Seog Lee
- Affiliation: Center for Geometry and Physics, Institute for Basic Science (IBS), Pohang 37673, Republic of Korea
- MR Author ID: 1124357
- Email: kyoungseog02@gmail.com
- Timofey Shabalin
- Affiliation: National Research University Higher School of Economics, AG Laboratory, 7 Vavilova street, Moscow, Russia, 117312
- Email: shabalin.timofey@gmail.com
- Received by editor(s): January 22, 2016
- Received by editor(s) in revised form: October 5, 2016
- Published electronically: March 9, 2018
- Additional Notes: The first author was supported by Seoul National University via the Fellowship for Fundamental Academic Fields. He was supported by IBS-R003-Y1
The second author was partially supported by AG Laboratory HSE, RF government grant, ag. 11.G34.31.0023 and RScF grant, ag. 14-21-00053 - Communicated by: Lev Borisov
- © Copyright 2018 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 146 (2018), 2299-2313
- MSC (2010): Primary 14F05; Secondary 14J29
- DOI: https://doi.org/10.1090/proc/13705
- MathSciNet review: 3778136