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Adv. Geom., 2013, Volume 13, Issue 3, Pages 389–418 (Mi advg1)  

G-Fano threefolds, I

Yu. Prokhorov

Department of Algebra, Faculty of Mathematics, Moscow State University, Moscow, 119 991, Russia

Abstract: We classify Fano threefolds with only terminal singularities whose canonical class is Cartier and divisible by 2 with the additional assumption that the G-invariant part of the Weil divisor class group is of rank 1 with respect to an action of some group G. In particular, we find a lot of examples of Fano 3-folds with many symmetries.

Funding Agency Grant Number
Russian Foundation for Basic Research 11-01-00336-a
11-01-92613-KO_a
Ministry of Education and Science of the Russian Federation 4713.2010.1
11.G34.31.0023
The work was partially supported by RFBR grants Nos. 11-01-00336-a and 11-01-92613-KO_a, Leading Scientific Schools, No. 4713.2010.1, and AG Laboratory HSE, RF government grant ag. 11.G34.31.0023.


DOI: https://doi.org/10.1515/advgeom-2013-0008


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Document Type: Article
Language: English

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