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group actions on varieties

Proceedings of the Edinburgh Mathematical Society (1)

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On Fano Varieties with Torus Action of Complexity 1
Elaine Herppich
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Proceedings of the Edinburgh Mathematical Society / Volume 57 / Issue 3 / October 2014

Published online by Cambridge University Press:

16 April 2014, pp. 737-753
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In this work we provide effective bounds and classification results for rational ℚ-factorial Fano varieties with a complexity-one torus action and Picard number 1 depending on the two invariants dimension and Picard index. This complements earlier work by Hausen et al., where the case of a free divisor class group of rank 1 was treated.