Effective bounds on singular surfaces in positive characteristic

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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.

Original languageEnglish (US)
Pages (from-to)367-388
Number of pages22
JournalMichigan Mathematical Journal
Volume66
Issue number2
DOIs
StatePublished - Jun 2017
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Mathematics

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