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- W4311767701 abstract "We construct 16 reflection groups Γ acting on symmetric domains $mathcal {D}$ of Cartan type IV, for which the graded algebras of modular forms are freely generated by forms of the same weight, and in particular the Satake-Baily-Borel compactification of $mathcal {D}/ {Gamma }$ is isomorphic to a projective space. Four of these are previously known results of Freitag-Salvati Manni, Matsumoto, Perna and Runge. In addition we find several new modular groups of orthogonal type whose algebras of modular forms are freely generated." @default.
- W4311767701 created "2022-12-28" @default.
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- W4311767701 date "2022-12-15" @default.
- W4311767701 modified "2023-10-01" @default.
- W4311767701 title "Projective Spaces as Orthogonal Modular Varieties" @default.
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- W4311767701 doi "https://doi.org/10.1007/s00031-022-09784-y" @default.
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