caa a22 4500 445862173 CHVBK 20180317145447.0 cr unu---uuuuu 170323e20110301xx s 000 0 eng 10.1007/s00031-011-9120-2 doi (NATIONALLICENCE)springer-10.1007/s00031-011-9120-2 Gandini J. Dipartimento di Matematica, "Guido Castelnuovo”, "Sapienza” Università di Roma, 00185, Roma, Italy aut Spherical orbit closures in simple projective spaces and their normalizations [Elektronische Daten] [J. Gandini] 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 ⊂ P(V) is a spherical orbit and if $$ X = \overline {G/H} $$ is its closure, then we describe the orbits of X and those of its normalization $$ \tilde{X} $$ . If, moreover, the wonderful completion of G/H is strict, then we give necessary and sufficient combinatorial conditions so that the normalization morphism $$ \tilde{X} \to X $$ is a homeomorphism. Such conditions are trivially fulfilled if G is simply laced or if H is a symmetric subgroup. Springer Science+Business Media, LLC, 2011 Transformation Groups SP Birkhäuser Verlag Boston 16/1(2011-03-01), 109-136 1083-4362 16:1<109 2011 16 31 https://doi.org/10.1007/s00031-011-9120-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00031-011-9120-2 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Gandini J. Dipartimento di Matematica, "Guido Castelnuovo”, "Sapienza” Università di Roma, 00185, Roma, Italy aut NATIONALLICENCE 773 0- Transformation Groups SP Birkhäuser Verlag Boston 16/1(2011-03-01), 109-136 1083-4362 16:1<109 2011 16 31 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer