Tohoku Mathematical Journal, Second Series
Online ISSN : 2186-585X
Print ISSN : 0040-8735
ISSN-L : 0040-8735
ON THE ACC FOR LENGTHS OF EXTREMAL RAYS
OSAMU FUJINO, YASUHIRO ISHITSUKA
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Keywords: Ascending chain condition, lengths of extremal rays, Fano varieties, toric varieties, minimal model program
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2013 Volume 65 Issue 1 Pages 93-103

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Abstract

We discuss the ascending chain condition for lengths of extremal rays. We prove that the lengths of extremal rays of $n$-dimensional $\boldsymbol{Q}$-factorial toric Fano varieties with Picard number one satisfy the ascending chain condition.

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© 2013 THE TOHOKU UNIVERSITY
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Tohoku Mathematical Journal, First Series

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