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Displaying similar documents to “On the differential of applications defined on moduli spaces of p.p.a.v. with level theata structure.”

Big Schottky.

R. Donagi (1987)

Inventiones mathematicae

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Cohomology of the boundary of Siegel modular varieties of degree two, with applications

J. William Hoffman, Steven H. Weintraub (2003)

Fundamenta Mathematicae

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Let 𝓐₂(n) = Γ₂(n)∖𝔖₂ be the quotient of Siegel's space of degree 2 by the principal congruence subgroup of level n in Sp(4,ℤ). This is the moduli space of principally polarized abelian surfaces with a level n structure. Let 𝓐₂(n)* denote the Igusa compactification of this space, and ∂𝓐₂(n)* = 𝓐₂(n)* - 𝓐₂(n) its "boundary". This is a divisor with normal crossings. The main result of this paper is the determination of H(∂𝓐₂(n)*) as a module over the finite group Γ₂(1)/Γ₂(n). As...

Navigating moduli space with complex twists

Curtis McMullen (2013)

Journal of the European Mathematical Society

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We discuss a common framework for studying twists of Riemann surfaces coming from earthquakes, Teichmüller theory and Schiffer variations, and use it to analyze geodesics in the moduli space of isoperiodic 1-forms.

On singular moduli.

B.H. Gross, Don B. Zagier (1984)

Journal für die reine und angewandte Mathematik

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