Siegel modular forms vanishing on the moduli space.
Bert van Geemen (1984)
Inventiones mathematicae
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Bert van Geemen (1984)
Inventiones mathematicae
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R. Donagi (1987)
Inventiones mathematicae
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Bernhard Runge (1993)
Journal für die reine und angewandte Mathematik
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Takashi Ichikawa (1994)
Mathematische Annalen
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Yung-sheng Tai (1982)
Inventiones mathematicae
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David R. Dorman (1989)
Mathematische Annalen
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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...
G. Trautmann, Rosa María Miró-Roig (1994)
Mathematische Zeitschrift
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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.
B.H. Gross, Don B. Zagier (1984)
Journal für die reine und angewandte Mathematik
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M. Seppäla, R. Silhol (1989)
Mathematische Zeitschrift
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A.J. de Jong (1993)
Mathematische Annalen
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A. Álvarez (2008)
Acta Arithmetica
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R. Silhol (1992)
Inventiones mathematicae
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