Generic vanishing and classification of irregular surfaces in positive characteristics

Yuan Wang*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

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 languageEnglish (US)
Pages (from-to)8559-8585
Number of pages27
JournalTransactions of the American Mathematical Society
Volume369
Issue number12
DOIs
StatePublished - 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

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