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On Fano varieties with torus action of complexity one

Elaine Herppich
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Abstract

In this work we provide effective bounds and classification results for rational $\QQ$-factorial Fano varieties with a complexity-one torus action and Picard number one depending on the invariants dimension and Picard index. This complements earlier work by Hausen, S\"u{\ss} and the author, where the case of free divisor class group of rank one was treated.

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Elaine Herppich. 2011-11-17. On Fano varieties with torus action of complexity one. https://arxiv.org/abs/1111.4111

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