A complex hyperbolic structure for moduli of cubic surfaces

DOI10.1016/S0764-4442(97)82711-5zbMath0959.32035arXivalg-geom/9709016OpenAlexW2053534589MaRDI QIDQ4229968

Daniel Allcock, Domingo Toledo, James A. Carlson

Publication date: 26 April 1999

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/alg-geom/9709016

zbMATH Keywords

fundamental groupperiod mapcubic threefoldmoduli space of marked cubic surfacescomplex hyperbolic structure

Mathematics Subject Classification ID

Period matrices, variation of Hodge structure; degenerations (32G20) Families, moduli, classification: algebraic theory (14J10) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) (p)-adic cohomology, crystalline cohomology (14F30)

Related Items (10)

The complex hyperbolic geometry of the moduli space of cubic surfaces ⋮ Arithmetic Torelli maps for cubic surfaces and threefolds ⋮ DG-resolutions of NC-smooth thickenings and NC-Fourier-Mukai transforms ⋮ Real cubic surfaces and real hyperbolic geometry ⋮ The uniformizing differential equation of the complex hyperbolic structure on the moduli space of marked cubic surfaces ⋮ Discriminant complements and kernels of monodromy representations ⋮ Theta constants associated to cubic threefolds ⋮ New complex- and quaternion-hyperbolic reflection groups ⋮ Reflection groups of Lorentzian lattices ⋮ Theta constants associated with the cyclic triple coverings of the complex projective line branching at six points

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