Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 18 (2022), 088, 42 pages      arXiv:2108.03029      https://doi.org/10.3842/SIGMA.2022.088

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

Andreas Bäuerle and Jürgen Hausen
Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, 72076 Tübingen, Germany

Received April 20, 2022, in final form November 07, 2022; Published online November 16, 2022

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.

Key words: Fano threefolds; torus action.

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