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

Andreas Baeuerle,Juergen Hausen

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS（2022）

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