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math.AG2017
Singularités canoniques et actions horosphériques
Kevin Langlois
Let be a connected reductive linear algebraic group. We consider the normal -varieties with horospherical orbits. In this short note, we provide a criterion to determine whe…
math.AG2013
Sur les opérations de tores algébriques de complexité un dans les variétés affines
Kevin Langlois
This thesis is devoted to the study of geometric properties of affine algebraic varieties endowed with an action of an algebraic torus. It comes from three preprints which correspo…
math.AG2012
Clôture intégrale et opérations de tores algébriques de complexité un dans les variétés affines
Kevin Langlois
We describe explicitly the normalization of affine varieties with an algebraic torus action of complexity one in terms of polyhedral divisors. We also provide a description of homo…