Effective bounds on singular surfaces in positive characteristic

Jakub Witaszek

doi:10.1307/mmj/1491465684

Effective bounds on singular surfaces in positive characteristic

Jakub Witaszek

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

Using the theory of Frobenius singularities, we show that 13mK_X + 45mA is very ample for an ample Cartier divisor A on a Kawamata log terminal surface X with Gorenstein index m, defined over an algebraically closed field of characteristic p >5.

Original language	English (US)
Pages (from-to)	367-388
Number of pages	22
Journal	Michigan Mathematical Journal
Volume	66
Issue number	2
DOIs	https://doi.org/10.1307/mmj/1491465684
State	Published - Jun 2017
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1307/mmj/1491465684

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title = "Effective bounds on singular surfaces in positive characteristic",

abstract = "Using the theory of Frobenius singularities, we show that 13mKX + 45mA is very ample for an ample Cartier divisor A on a Kawamata log terminal surface X with Gorenstein index m, defined over an algebraically closed field of characteristic p >5.",

author = "Jakub Witaszek",

year = "2017",

month = jun,

doi = "10.1307/mmj/1491465684",

language = "English (US)",

volume = "66",

pages = "367--388",

journal = "Michigan Mathematical Journal",

issn = "0026-2285",

publisher = "University of Michigan",

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T1 - Effective bounds on singular surfaces in positive characteristic

AU - Witaszek, Jakub

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N2 - Using the theory of Frobenius singularities, we show that 13mKX + 45mA is very ample for an ample Cartier divisor A on a Kawamata log terminal surface X with Gorenstein index m, defined over an algebraically closed field of characteristic p >5.

AB - Using the theory of Frobenius singularities, we show that 13mKX + 45mA is very ample for an ample Cartier divisor A on a Kawamata log terminal surface X with Gorenstein index m, defined over an algebraically closed field of characteristic p >5.

UR - https://www.scopus.com/pages/publications/85020057481

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U2 - 10.1307/mmj/1491465684

DO - 10.1307/mmj/1491465684

M3 - Article

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SP - 367

EP - 388

JO - Michigan Mathematical Journal

JF - Michigan Mathematical Journal

IS - 2

ER -

Effective bounds on singular surfaces in positive characteristic

Abstract

All Science Journal Classification (ASJC) codes

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