Cuspidality in higher genus

Dania Zantout

Research output: Contribution to journalArticlepeer-review


We define a global linear operator that projects holomorphic modular forms defined on the Siegel upper half space of genus n to all the rational boundaries of lower degrees. This global operator reduces to Siegel's Φ operator when considering only the maximal standard cusps of degree n - 1. One advantage of this generalization is that it allows us to give a general notion of cusp forms in genus n > 1 and to bridge this new notion with the classical one found in the literature.

Original languageEnglish (US)
Pages (from-to)2043-2060
Number of pages18
JournalInternational Journal of Number Theory
Issue number8
StatePublished - Dec 1 2016


  • cusps
  • Satake compactification
  • Siegel's Φ operator

ASJC Scopus subject areas

  • Algebra and Number Theory


Dive into the research topics of 'Cuspidality in higher genus'. Together they form a unique fingerprint.

Cite this