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On Fano Varieties with Torus Action of Complexity 1

Published online by Cambridge University Press:  16 April 2014

Elaine Herppich
Elaine Herppich*
Affiliation:
Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, 72076 Tübingen, Germany, (xlink:href="elaine.herppich@uni-tuebingen.de">elaine.herppich@uni-tuebingen.de)
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Abstract

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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.

Keywords

Fano varietiesgroup actions on varietiesfactorially graded ringsPrimary 14J4514L3013A0213F15
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 57 , Issue 3 , October 2014 , pp. 737 - 753
Copyright
Copyright © Edinburgh Mathematical Society 2014 

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