Modular forms and algebraic geometry

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Picard modular forms and curves of genus three

  • F imaginary quadratic field, O_F
  • V (n+1)-dim's vector space, L O_F-lattice
  • h non-deg hermitian form of sign (n,1) O_F-valued on L


articles

  • Li, Zhiyuan, and Letao Zhang. “Modular Forms and Special Cubic Fourfolds.” arXiv:1203.1373 [math], March 6, 2012. http://arxiv.org/abs/1203.1373.
  • Shiga, Hironori. 1988. “On the Representation of the Picard Modular Function by \(þeta\) Constants. I, II.” Kyoto University. Research Institute for Mathematical Sciences. Publications 24 (3): 311–360. doi:10.2977/prims/1195175031.