Generic vanishing and classification of irregular surfaces in positive characteristics

Yuan Wang

doi:10.1090/tran/6914

Generic vanishing and classification of irregular surfaces in positive characteristics

Yuan Wang^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-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 language	English (US)
Pages (from-to)	8559-8585
Number of pages	27
Journal	Transactions of the American Mathematical Society
Volume	369
Issue number	12
DOIs	https://doi.org/10.1090/tran/6914
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

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10.1090/tran/6914

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title = "Generic vanishing and classification of irregular surfaces in positive characteristics",

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.",

keywords = "Albanese morphism, Fourier-Mukai transform, Generic vanishing, Positive characteristic, Surface of general type",

author = "Yuan Wang",

note = "Publisher Copyright: {\textcopyright} 2017 American Mathematical Society.",

year = "2017",

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KW - Positive characteristic

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Generic vanishing and classification of irregular surfaces in positive characteristics

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Keywords

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