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Minimal Models and Abundance for Positive Characteristic Log Surfaces

Published online by Cambridge University Press:  11 January 2016

Hiromu Tanaka
Hiromu Tanaka*
Affiliation:
Department of Mathematics, Graduate School of Science, Kobe University, Kobe 657-8501, Japan, [email protected]
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Abstract

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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.

Keywords

14E3014J10
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 216 , 2014 , pp. 1 - 70
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2014

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