2026-09-21T22:36:37Zhttps://iris.unitn.it/oai/request

oai:iris.unitn.it:11572/3722822023-12-21T23:59:42Zcom_11572_237821com_11572_101871col_11572_237822ou_ou00004

C*-actions on rational homogeneous varieties and the associated birational maps Franceschini, Alberto Franceschini, Alberto Sola Conde, Eduardo Luis torus actions, rational homogeneous varieties, birational geometry Settore MAT/03 - Geometria Given a birational map among projective varieties, it is known that there exists a variety Z with a one-dimensional torus action such that the birational map is induced from two geometric quotients of Z. We proceed in the opposite direction: given a smooth projective variety X with a one-dimensional torus action, one can define a birational map associated to the action and study the properties of the map via the geometry of X. Rational homogeneous varieties admit natural torus actions, so they are a good class of example to test the general theory. In the thesis, we obtain and discuss some results about the birational maps associated to some one-dimensional torus actions on rational homogeneous varieties. 2023-03-20 info:eu-repo/semantics/doctoralThesis https://hdl.handle.net/11572/372282 http://dx.doi.org/10.15168/11572_372282 10.15168/11572_372282 eng firstpage:1 lastpage:124 numberofpages:124 info:eu-repo/semantics/openAccess Università degli studi di Trento place:TRENTO license:Tutti i diritti riservati (All rights reserved) license uri:iris.PRI01