The X-method for klt surfaces in positive characteristic

Tanaka, Hiromu

doi:10.1090/S1056-3911-2014-00627-5

Author: Hiromu Tanaka
Journal: J. Algebraic Geom. 24 (2015), 605-628
DOI: https://doi.org/10.1090/S1056-3911-2014-00627-5
Published electronically: October 29, 2014
MathSciNet review: 3383599
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Abstract | References | Additional Information

Abstract: In this paper, we establish a weak version of the Kodaira vanishing theorem for surfaces in positive characteristic. As an application, we obtain some fundamental theorems in the minimal model theory for klt surfaces.

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Additional Information

Hiromu Tanaka
Affiliation: Department of Mathematics, Faculty of Science, Kyoto University, Kyoto 606-8502, Japan
Email: tanakahi@math.kyoto-u.ac.jp

Received by editor(s): July 7, 2012
Received by editor(s) in revised form: September 27, 2012
Published electronically: October 29, 2014
Additional Notes: The author is partially supported by the Research Fellowships of the Japan Society for the Promotion of Science for Young Scientists (24-1937).
Article copyright: © Copyright 2014 University Press, Inc.
The copyright for this article reverts to public domain 28 years after publication.