2022/07/20 by Barban, Lorenzo, Romano, Eleonora A., Conde, Luis E. Solá +1
#14L24 #14M17 #Algebraic Geometry (math.AG) #FOS: Mathematics #Primary 14L30 #Secondary 14E30
paper · doi:10.48550/arxiv.2207.09864
We construct a correspondence between Mori dream regions arising from small modifications of normal projective varieties and ℂ^*-actions on polarized pairs which are bordisms. Moreover, we show that the Mori dream regions constructed in this way admit a chamber decomposition on which the models are the geometric quotients of the ℂ^*-action. In addition we construct, from a given ℂ^*-action on a polarized pair for which there exist at least two admissible geometric quotients, a ℂ^*-equivariantly birational ℂ^*-variety, whose induced action is a bordism, called the pruning of the variety.