Dimension formulas for spaces of vector-valued Siegel modular forms of degree 2 and level 2

• Bergström, Jonas ^[2] ; Cléry, Fabien ^[1]
  1. [1] Loughborough University

     Loughborough University

     Charnwood District, Reino Unido

     
  2. [2] Stockholms Universitet (Estocolm, Suècia). Matematiska institutionen
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 69, Nº 2, 2025, págs. 367-388
• Idioma: inglés
• DOI: 10.5565/publmat6922505
• Enlaces
  • Texto completo
• Resumen

  • Using a description of the cohomology of local systems on the moduli space of abelian surfaces with a full level 2 structure, together with a computation of Euler characteristics, we find the isotypical decomposition, under the symmetric group on six letters, of spaces of vector-valued Siegel modular forms of degree 2 and level 2.

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