\(G\)-Fano threefolds. II. (Q2844284)
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scientific article; zbMATH DE number 6202443
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(G\)-Fano threefolds. II. |
scientific article; zbMATH DE number 6202443 |
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28 August 2013
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3-folds
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Fano
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\(G\)-varieties
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\(G\)-Fano threefolds. II. (English)
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The paper under review continues the study of \(G\)-Fano 3-folds, [\textit{Y. Prokhorov}, Adv. Geom. 13, No. 3, 389--418 (2013; Zbl 1291.14024)]. This time the author is able to classify Gorenstein terminal Fano 3-folds, over an algebraically closed field of characteristic zero, with Picard rank greater than 1 and admitting a finite group action on the automorphisms of \(X\), such that the invariant part of the Picard group has rank 1. This is done first for smooth 3-folds and then extended to terminal Gorenstein by a smoothing argument. The paper is complemented with examples of these varieties.
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