On the ACC for lengths of extremal rays

Details On the ACC for lengths of extremal rays On the ACC for lengths of extremal rays

2011-10-12

arxiv.org/abs/1110.2541v1

Mathematics

Algebraic Geometry

10 pages

Scientific paper

We discuss the ascending chain condition for lengths of extremal rays. We
prove that the lengths of extremal rays of $n$-dimensional $\mathbb
Q$-factorial toric Fano varieties with Picard number one, which are sometimes
called fake weighted projective spaces, satisfy the ascending chain condition.

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