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December 2014 Minimal models and abundance for positive characteristic log surfaces
Hiromu Tanaka
Nagoya Math. J. 216: 1-70 (December 2014). DOI: 10.1215/00277630-2801646

Abstract

We discuss the birational geometry of singular surfaces in positive characteristic. More precisely, we establish the minimal model program and the abundance theorem for Q-factorial surfaces and for log canonical surfaces. Moreover, in the case where the base field is the algebraic closure of a finite field, we obtain the same results under much weaker assumptions.

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Hiromu Tanaka. "Minimal models and abundance for positive characteristic log surfaces." Nagoya Math. J. 216 1 - 70, December 2014. https://doi.org/10.1215/00277630-2801646

Information

Published: December 2014
First available in Project Euclid: 9 September 2014

zbMATH: 1311.14020
MathSciNet: MR3319838
Digital Object Identifier: 10.1215/00277630-2801646

Subjects:
Primary: 14E30
Secondary: 14J10

Rights: Copyright © 2014 Editorial Board, Nagoya Mathematical Journal

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Vol.216 • December 2014
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