On Fano varieties with torus action of complexity one

Details On Fano varieties with torus action of complexity one On Fano varieties with torus action of complexity one

2011-11-17

arxiv.org/abs/1111.4111v1

Mathematics

Algebraic Geometry

11 pages

Scientific paper

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, where the case of free divisor class group of rank
one was treated.

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