The variations of Hodge structure of maximal dimension with associated Hodge numbers $h^ {2,0}>2$ and $h^ {1,1}=2q+1$ do not arise from geometry
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- by Azniv Kasparian PDF
- Trans. Amer. Math. Soc. 347 (1995), 4985-5007 Request permission
Abstract:
The specified variations are proved to be covered by a bounded contractible domain $\Omega$. After classifying the analytic boundary components of $\Omega$ with respect to a fixed realization, the group of the biholomorphic automorphisms ${\text {Aut}}\Omega$ and the ${\text {Aut}}\Omega$-orbit structure of $\Omega$ are found explicitly. Then $\Omega$ is shown to admit no quasiprojective arithmetic quotients, whereas the lack of geometrically arising variations, covered by $\Omega$.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 347 (1995), 4985-5007
- MSC: Primary 32G20; Secondary 14C30, 14D07, 32J25
- DOI: https://doi.org/10.1090/S0002-9947-1995-1290721-6
- MathSciNet review: 1290721