{"id":{"repo_id":"trento","oai_identifier":"oai:iris.unitn.it:11572/372282"},"canonical_url":"https://search.dev.ndltd.org/etd/trento/oai:iris.unitn.it:11572/372282","repository":{"repo_id":"trento","name":"Università degli Studi di Trento","base_url":"https://iris.unitn.it/oai/request"},"display":{"title":"C*-actions on rational homogeneous varieties and the associated birational maps","abstract":"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.","abstract_html":"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.","abstract_has_math":false,"creators":["Franceschini, Alberto"],"institution":"Università degli studi di Trento","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":["Sola Conde, Eduardo Luis"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2023,"date_issued":"2023-03-20","date_published":"2023-03-20","updated_at":"2026-07-24T05:04:43Z","subjects":["torus actions, rational homogeneous varieties, birational geometry","Settore MAT/03 - Geometria"],"languages":["eng"],"rights":["info:eu-repo/semantics/openAccess","license:Tutti i diritti riservati (All rights reserved)","license uri:iris.PRI01"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["http://dx.doi.org/10.15168/11572_372282","10.15168/11572_372282"],"render_values":[{"text":"http://dx.doi.org/10.15168/11572_372282","href":"http://dx.doi.org/10.15168/11572_372282","code":true},{"text":"10.15168/11572_372282","href":"https://doi.org/10.15168/11572_372282","code":true}]}]},"links":{"outbound_url":"https://hdl.handle.net/11572/372282","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Franceschini, Alberto","Sola Conde, Eduardo Luis"]},{"key":"dc:creator","label":"Author","values":["Franceschini, Alberto"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2023-03-20"]},{"key":"dc:publisher","label":"Institution","values":["Università degli studi di Trento","place:TRENTO"]},{"key":"dc:relation","label":"Dc Relation","values":["firstpage:1","lastpage:124","numberofpages:124"]},{"key":"dc:type","label":"Dc Type","values":["info:eu-repo/semantics/doctoralThesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["torus actions, rational homogeneous varieties, birational geometry","Settore MAT/03 - Geometria"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]},{"key":"dc:rights","label":"Dc Rights","values":["info:eu-repo/semantics/openAccess","license:Tutti i diritti riservati (All rights reserved)","license uri:iris.PRI01"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://hdl.handle.net/11572/372282","http://dx.doi.org/10.15168/11572_372282","10.15168/11572_372282"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["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."]},{"key":"dc:title","label":"Title","values":["C*-actions on rational homogeneous varieties and the associated birational maps"]}]}],"canonical_facts":{"dc:contributor":["Franceschini, Alberto","Sola Conde, Eduardo Luis"],"dc:creator":["Franceschini, Alberto"],"dc:date":["2023-03-20"],"dc:description":["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."],"dc:identifier":["https://hdl.handle.net/11572/372282","http://dx.doi.org/10.15168/11572_372282","10.15168/11572_372282"],"dc:language":["eng"],"dc:publisher":["Università degli studi di Trento","place:TRENTO"],"dc:relation":["firstpage:1","lastpage:124","numberofpages:124"],"dc:rights":["info:eu-repo/semantics/openAccess","license:Tutti i diritti riservati (All rights reserved)","license uri:iris.PRI01"],"dc:subject":["torus actions, rational homogeneous varieties, birational geometry","Settore MAT/03 - Geometria"],"dc:title":["C*-actions on rational homogeneous varieties and the associated birational maps"],"dc:type":["info:eu-repo/semantics/doctoralThesis"]},"updated_at":"2026-07-24T05:04:43Z"}