Anne Fahrner, Juergen Hausen, Michele Nicolussi
Published 2016-02-13Version 1
We give an explicit description of all smooth varieties with a torus action of complexity one having Picard number at most two. As a consequence, we classify in every dimension the smooth (almost) Fano varieties with a torus action of complexity one having Picard number two.
The automorphism group of a variety with torus action of complexity one
The Nash problem for torus actions of complexity one
Decomposition theorem and torus actions of complexity one
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