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Standard Monomial Theory for Wonderful Varieties

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Abstract

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.

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Authors and Affiliations

  1. Dipartimento di Matematica “Guido Castelnuovo”, Università di Roma “La Sapienza”, Piazzale Aldo Moro n. 5, 00185, Roma, Italy

    P. Bravi

  2. Dipartimento di Matematica e Fisica “Ennio de Giorgi”, Università del Salento, Via per Arnesano, 73047, Monteroni di Lecce (LE), Italy

    R. Chirivì

  3. Scuola Normale Superiore di Pisa, Piazza dei Cavalieri n. 7, 56127, Pisa (PI), Italy

    J. Gandini

  4. Dipartimento di Matematica, Università di Pisa, Largo Bruno Pontecorvo 5, 56127, Pisa (PI), Italy

    A. Maffei

Authors
  1. P. Bravi
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  2. R. Chirivì
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  3. J. Gandini
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  4. A. Maffei
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Correspondence to R. Chirivì.

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Presented by Peter Littelmann.

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Bravi, P., Chirivì, R., Gandini, J. et al. Standard Monomial Theory for Wonderful Varieties. Algebr Represent Theor 19, 489–509 (2016). https://doi.org/10.1007/s10468-015-9586-z

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  • DOI: https://doi.org/10.1007/s10468-015-9586-z

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