Abstract
We establish a generic vanishing theorem for surfaces in characteristic p that lift to W2(k) and use it for classification of surfaces of general type with Euler characteristic 1 and large Albanese dimension.
Original language | English (US) |
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Pages (from-to) | 8559-8585 |
Number of pages | 27 |
Journal | Transactions of the American Mathematical Society |
Volume | 369 |
Issue number | 12 |
DOIs | |
State | Published - Dec 2017 |
Funding
Received by the editors May 27, 2015 and, in revised form, January 16, 2016 and January 27, 2016. 2010 Mathematics Subject Classification. Primary 14F17, 14J29; Secondary 14K30. Key words and phrases. Generic vanishing, surface of general type, Albanese morphism, Fourier-Mukai transform, positive characteristic. The author was supported in part by the FRG grant DMS #1265261.
Keywords
- Albanese morphism
- Fourier-Mukai transform
- Generic vanishing
- Positive characteristic
- Surface of general type
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics