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

Keywords

Albanese morphism
Fourier-Mukai transform
Generic vanishing
Positive characteristic
Surface of general type

ASJC Scopus subject areas

Mathematics(all)
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",

month = dec,

doi = "10.1090/tran/6914",

language = "English (US)",

volume = "369",

pages = "8559--8585",

journal = "Transactions of the American Mathematical Society",

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publisher = "American Mathematical Society",

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T1 - Generic vanishing and classification of irregular surfaces in positive characteristics

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PY - 2017/12

Y1 - 2017/12

N2 - 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.

AB - 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.

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KW - Fourier-Mukai transform

KW - Generic vanishing

KW - Positive characteristic

KW - Surface of general type

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DO - 10.1090/tran/6914

M3 - Article

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JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

SN - 0002-9947

IS - 12

ER -

Generic vanishing and classification of irregular surfaces in positive characteristics

Abstract

Keywords

ASJC Scopus subject areas

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