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arXiv · 1308.2379

Fano threefolds with 2-torus action - a picture book

Hendrik Süß
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Abstract

Following the work of Altmann and Hausen we give a combinatorial description in terms for smooth Fano threefolds admitting a 2-torus action. We show that a whole variety of properties and invariants can be read off from this description. As an application we prove and disprove the existence of Kahler-Einstein metrics for some of these Fano threefolds, calculate their Cox rings and some of their toric canonical degenerations.

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Hendrik Süß. 2013-08-11. Fano threefolds with 2-torus action - a picture book. https://arxiv.org/abs/1308.2379

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