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JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive
SIGMA, 2022 Volume 18, 088, 42 pp. (Mi sigma1884)
This article is cited in 1 paper

On Gorenstein Fano Threefolds with an Action of a Two-Dimensional Torus

Andreas Bäuerle, Jürgen Hausen

Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, 72076 Tübingen, Germany

Abstract: We classify the non-toric, $\mathbb Q$-factorial, Gorenstein, log terminal Fano threefolds of Picard number one that admit an effective action of a two-dimensional algebraic torus.

Keywords: Fano threefolds, torus action.

MSC: 14J45, 14J35, 14L30

Received: April 20, 2022; in final form November 7, 2022; Published online November 16, 2022

Language: English

DOI: 10.3842/SIGMA.2022.088



Bibliographic databases:
ArXiv: 2108.03029

© Steklov Math. Inst. of RAS, 2025