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Modular forms on \(\mathrm{SU}(2,1)\) with weight \(\frac{1}{3}\)

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Publication:2696582
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DOI10.1007/s40993-022-00361-6OpenAlexW4361029881MaRDI QIDQ2696582

Eberhard Freitag, Richard M. Hill

Publication date: 14 April 2023

Published in: Research in Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.01106


zbMATH Keywords

Borcherds productsPicard modular formsfractional weight modular formspresentations of arithmetic groups


Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Structure of modular groups and generalizations; arithmetic groups (11F06) Cohomology of arithmetic groups (11F75)


Related Items (1)

Residual finiteness of extensions of arithmetic subgroups of \(\mathrm{SU}(d,1)\) with cusps


Uses Software

  • GitHub


Cites Work

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  • Cubic surfaces and Borcherds products
  • Automorphic forms and the periods of abelian varieties
  • Borcherds products of half-integral weight
  • The geometry of the Eisenstein-Picard modular group
  • A three dimensional ball quotient
  • A GRADED ALGEBRA RELATED TO CUBIC SURFACES
  • Algebraic Cohomology of Topological Groups


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