Geodesic
Fano threefolds with 2-torus action
Documenta mathematica, Tome 19 (2014), pp. 905-940.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Following the work of Altmann and Hausen we give a combinatorial description 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 Kähler-Einstein metrics for some of these Fano threefolds, calculate their Cox rings and some of their toric canonical degenerations.
Classification : 14L30, 14J45, 32Q20
Keywords: torus action, moment polytope, Fano variety, Kähler-Einstein metric, Cox ring 
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     author = {S\"u{\ss}, Hendrik},
     title = {Fano threefolds with 2-torus action},
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     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2014__19__a15/}
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Süß, Hendrik. Fano threefolds with 2-torus action. Documenta mathematica, Tome 19 (2014), pp. 905-940. http://geodesic.mathdoc.fr/item/DOCMA_2014__19__a15/