Classification of strict wonderful varieties

Paolo Bravi[1]; Stéphanie Cupit-Foutou[2]

  • [1] Università di Roma La Sapienza Dipartimento di Matematica P. le Aldo Moro 5 00185 Roma (Italy)
  • [2] Universität zu Köln Mathematisches Institut Weyertal Str. 86-90 50931 Köln (Germany)

Annales de l’institut Fourier (2010)

  • Volume: 60, Issue: 2, page 641-681
  • ISSN: 0373-0956

Abstract

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In the setting of strict wonderful varieties we prove Luna’s conjecture, saying that wonderful varieties are classified by combinatorial objects, the so-called spherical systems. In particular, we prove that primitive strict wonderful varieties are mostly obtained from symmetric spaces, spherical nilpotent orbits and model spaces. To make the paper as self-contained as possible, we also gather some known results on these families and more generally on wonderful varieties.

How to cite

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Bravi, Paolo, and Cupit-Foutou, Stéphanie. "Classification of strict wonderful varieties." Annales de l’institut Fourier 60.2 (2010): 641-681. <http://eudml.org/doc/116284>.

@article{Bravi2010,
abstract = {In the setting of strict wonderful varieties we prove Luna’s conjecture, saying that wonderful varieties are classified by combinatorial objects, the so-called spherical systems. In particular, we prove that primitive strict wonderful varieties are mostly obtained from symmetric spaces, spherical nilpotent orbits and model spaces. To make the paper as self-contained as possible, we also gather some known results on these families and more generally on wonderful varieties.},
affiliation = {Università di Roma La Sapienza Dipartimento di Matematica P. le Aldo Moro 5 00185 Roma (Italy); Universität zu Köln Mathematisches Institut Weyertal Str. 86-90 50931 Köln (Germany)},
author = {Bravi, Paolo, Cupit-Foutou, Stéphanie},
journal = {Annales de l’institut Fourier},
keywords = {Spherical varieties; wonderful varieties; symmetric varieties; spherical nilpotent orbits; model spaces; spherical varieties},
language = {eng},
number = {2},
pages = {641-681},
publisher = {Association des Annales de l’institut Fourier},
title = {Classification of strict wonderful varieties},
url = {http://eudml.org/doc/116284},
volume = {60},
year = {2010},
}

TY - JOUR
AU - Bravi, Paolo
AU - Cupit-Foutou, Stéphanie
TI - Classification of strict wonderful varieties
JO - Annales de l’institut Fourier
PY - 2010
PB - Association des Annales de l’institut Fourier
VL - 60
IS - 2
SP - 641
EP - 681
AB - In the setting of strict wonderful varieties we prove Luna’s conjecture, saying that wonderful varieties are classified by combinatorial objects, the so-called spherical systems. In particular, we prove that primitive strict wonderful varieties are mostly obtained from symmetric spaces, spherical nilpotent orbits and model spaces. To make the paper as self-contained as possible, we also gather some known results on these families and more generally on wonderful varieties.
LA - eng
KW - Spherical varieties; wonderful varieties; symmetric varieties; spherical nilpotent orbits; model spaces; spherical varieties
UR - http://eudml.org/doc/116284
ER -

References

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