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

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.

References in corpus (5)

• Log terminal singularities, platonic tuples and iteration of Cox rings
• On terminal Fano 3-folds with 2-torus action
• Q-Fano threefolds of large Fano index, I
• On the anticanonical complex
• Kawamata boundedness for Fano threefolds and the Graded Ring Database

Cited by in corpus (1)

• Del Pezzo surfaces of Picard number one admitting a torus action