PADIS

Pubblicazioni Aperte DIgitali Sapienza > Matematica > MATEMATICA >

Please use this identifier to cite or link to this item: http://hdl.handle.net/10805/1212

Title: SIMPLE LINEAR COMPACTIFICATIONS OF SPHERICAL HOMOGENEOUS SPACES
Authors: GANDINI, JACOPO
Keywords: SPHERICAL VARIETIES
GROUP COMPACTIFICATIONS
Issue Date: 11-Feb-2011
Abstract: Let G be a simply connected semisimple algebraic group over an algebraically closed field k of characteristic 0 and let V be a rational simple G-module. If G/H is a spherical orbit in P(V) and if X is its closure, then we describe the orbits of X and those of its normalization X. If moreover the wonderful completion of G/H is strict, then we give necessary and sufficient combinatorial conditions so that the normalization morphism X → X is a homeomorphism. Such conditions are trivially fulfilled if G is simply laced or if H is a symmetric subgroup. In the special case of an odd orthogonal group G regarded as a GxG variety, we give an explicit classification of its simple linear compactifications, namely those equivariant compactifications with a unique closed orbit which are obtained by taking the closure of the GxG-orbit of the identity in a projective space P(End(V)), where V is a finite dimensional rational G-module.
URI: http://hdl.handle.net/10805/1212
Research interests: Geometric representation theory, Algebraic geometry
Personal skills keywords: Spherical varieties
Group compactifications
Appears in PhD:MATEMATICA

Files in This Item:

File Description SizeFormat
Gandini-tesi.pdfTesi di dottorato1.1 MBAdobe PDF

File del Curriculum Vitae:

CurriculumVitae.pdf 176.46 kBAdobe PDF


This item is protected by original copyright

Recommend this item

Items in PADIS are protected by copyright, with all rights reserved, unless otherwise indicated.

 

Valid XHTML 1.0! DSpace Software Copyright © 2002-2010  Duraspace - Feedback Sviluppo e manutenzione a cura del CINECA