On the geometry of normal horospherical G-varieties of complexity oneReport as inadecuate




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1 ICMAT - Instituto de Ciencias Matematicas 2 Institut für Mathematik Mainz

Abstract : Let G be a connected simply-connected reductive algebraic group. In this article, we consider the normal algebraic varieties equipped with a horospherical G-action such that the quotient of a G-stable open subset is a curve. Let X be such a G-variety. Using the combinatorial description of Timashev, we describe the class group of X by generators and relations and we give a representative of the canonical class. Moreover, we obtain a smoothness criterion for X and a criterion to determine whether the singularities of X are rational or log-terminal respectively.

Keywords : normal G-varieties colored polyhedral divisors Luna-Vust theory





Author: Kevin Langlois - Ronan Terpereau -

Source: https://hal.archives-ouvertes.fr/



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