Hilbert series of symplectic quotients by the 2-torus

• Herbig, Hans-Christian ^[1] ; Herden, Daniel ^[2] ; Seaton, Christopher ^[3]
  1. [1] Universidade Federal do Rio de Janeiro

     Universidade Federal do Rio de Janeiro

     Brasil

     
  2. [2] Baylor University

     Baylor University

     Estados Unidos

     
  3. [3] Rhodes College

     Rhodes College

     Estados Unidos

     

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• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 74, Fasc. 2, 2023, págs. 415-442
• Idioma: inglés
• DOI: 10.1007/s13348-022-00357-6
• Texto completo no disponible (Saber más ...)
• Resumen

  • We compute the Hilbert series of the graded algebra of real regular functions on a linear symplectic quotient by the 2-torus as well as the first four coefficients of the Laurent expansion of this Hilbert series at t=1. We describe an algorithm to compute the Hilbert series as well as the Laurent coefficients in explicit examples.