Algebras and Representation Theory

, Volume 19, Issue 2, pp 489–509 | Cite as

Standard Monomial Theory for Wonderful Varieties

  • P. Bravi
  • R. Chirivì
  • J. Gandini
  • A. Maffei


A general setting for a standard monomial theory on a multiset is introduced and applied to the Cox ring of a wonderful variety. This gives a degeneration result of the Cox ring to a multicone over a partial flag variety. Further, we deduce that the Cox ring has rational singularities.


Standard monomial theory Wonderful variety Degeneration Rational singularity 

Mathematics Subject Classification (2010)

Primary 14M27 Secondary 13F50 20G05 


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© Springer Science+Business Media Dordrecht 2016

Authors and Affiliations

  1. 1.Dipartimento di Matematica “Guido Castelnuovo”Università di Roma “La Sapienza”RomaItaly
  2. 2.Dipartimento di Matematica e Fisica “Ennio de Giorgi”Università del SalentoMonteroni di Lecce (LE)Italy
  3. 3.Scuola Normale Superiore di PisaPisa (PI)Italy
  4. 4.Dipartimento di MatematicaUniversità di PisaPisa (PI)Italy

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