On the ACC for lengths of extremal rays

Osamu Fujino; Yasuhiro Ishitsuka

doi:10.2748/tmj/1365452627

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Home > Journals > Tohoku Math. J. (2) > Volume 65 > Issue 1 > Article

2013 On the ACC for lengths of extremal rays

Osamu Fujino, Yasuhiro Ishitsuka

Tohoku Math. J. (2) 65(1): 93-103 (2013). DOI: 10.2748/tmj/1365452627

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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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Osamu Fujino. Yasuhiro Ishitsuka. "On the ACC for lengths of extremal rays." Tohoku Math. J. (2) 65 (1) 93 - 103, 2013. https://doi.org/10.2748/tmj/1365452627