Inversion maps and torus actions on rational homogeneous varieties

2022/08/30 by Franceschini, Alberto, Conde, Luis E. Solá
#14L24 #14M17 #Algebraic Geometry (math.AG) #FOS: Mathematics #Primary 14L30 #Secondary 14E30

paper · doi:10.48550/arxiv.2208.14216

Abstract

Complex projective algebraic varieties with ℂ^*-actions can be thought of as geometric counterparts of birational transformations. In this paper we describe geometrically the birational transformations associated to rational homogeneous varieties endowed with a ℂ^*-action with no proper isotropy subgroups.

Related

• Toric non-equalized flips associated to ℂ^*-actions
• Characterizing rational homogeneous spaces via ℂ^*-actions
• Invariant rational functions under rational transformations
• Chow quotients of \mathbb C^*-actions on convex varieties
• The birational geometry of GIT quotients