Projective Spaces as Orthogonal Modular Varieties
نویسندگان
چکیده
We construct 16 reflection groups Γ acting on symmetric domains $\mathcal {D}$ of Cartan type IV, for which the graded algebras modular forms are freely generated by same weight, and in particular Satake-Baily-Borel compactification {D}/ {\Gamma }$ is isomorphic to a projective space. Four these previously known results Freitag-Salvati Manni, Matsumoto, Perna Runge. In addition we find several new orthogonal whose generated.
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ژورنال
عنوان ژورنال: Transformation Groups
سال: 2022
ISSN: ['1531-586X', '1083-4362']
DOI: https://doi.org/10.1007/s00031-022-09784-y