On Minimal Model Theory for Algebraic Log Surfaces

Osamu Fujino

doi:10.11650/tjm/210102

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Home > Journals > Taiwanese J. Math. > Volume 25 > Issue 3 > Article

June, 2021 On Minimal Model Theory for Algebraic Log Surfaces

Osamu Fujino

Author Affiliations +

Osamu Fujino¹
¹Department of Mathematics, Graduate School of Science, Osaka University

Taiwanese J. Math. 25(3): 477-489 (June, 2021). DOI: 10.11650/tjm/210102

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Abstract

We introduce the notion of generalized MR log canonical surfaces and establish the minimal model theory for generalized MR log canonical surfaces in full generality.

Funding Statement

The author was partially supported by JSPS KAKENHI Grant Numbers JP16H03925, JP16H06337.

Acknowledgments

The author thanks Kento Fujita, Kenta Hashizume, Haidong Liu, and Hiromu Tanaka for useful comments. He also thanks Keisuke Miyamoto for pointing out some mistakes. Finally, he thanks the referee for some useful comments and suggestions.

Citation

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Osamu Fujino. "On Minimal Model Theory for Algebraic Log Surfaces." Taiwanese J. Math. 25 (3) 477 - 489, June, 2021. https://doi.org/10.11650/tjm/210102

Information

Received: 22 April 2020; Revised: 2 December 2020; Accepted: 11 January 2021; Published: June, 2021

First available in Project Euclid: 15 January 2021

Digital Object Identifier: 10.11650/tjm/210102

Subjects:

Primary: 14E30

Secondary: 14J17

Keywords: Abundance Theorem , generalized MR log canonical surfaces , log canonical surfaces , log surfaces , minimal model program , MR log canonical surfaces

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