On the classification of elliptic surfaces with q=1.
Peter F. Stiller (1988)
Manuscripta mathematica
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Displaying similar documents to “Projective Models of Shioda Modular Surfaces.”
On the classification of elliptic surfaces with q=1.
A fundamental domain for the modular group of Riemann surfaces of type .
Chen, Min (1998)
Annales Academiae Scientiarum Fennicae. Mathematica
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Double integrals on a weighted projective plane and Hilbert modular functions for ℚ (√5)
Atsuhira Nagano (2015)
Acta Arithmetica
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The aim of this paper is to give an explicit extension of classical elliptic integrals to the Hilbert modular case for ℚ (√5). We study a family of Kummer surfaces corresponding to the Humbert surface of invariant 5 with two complex parameters. Our Kummer surface is given by a double covering of the weighted projective space ℙ(1:1:2) branched along a parabola and a quintic curve. The period mapping for our family is given by double integrals of an algebraic function on chambers coming...
Hilbert Modular Surfaces and the Classification of Algebraic Surfaces.
F. Hirzebruch, A. de Van de Ven (1974)
Inventiones mathematicae
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Formal Groups Attached to Elliptic Modular Forms
Takayuki Oda (1980)
Inventiones mathematicae
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Intersection Numbers of Curves on Hilbert Modular Surfaces and Modular Forms of Nebentypus.
F. Hirzebruch, D. Zagier (1976)
Inventiones mathematicae
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Products of special values of modular L-functions and their applications
Masataka Chida (2005)
Acta Arithmetica
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Impossible Specifications for the Modular Group.
W. Wilson Stothers (1974)
Manuscripta mathematica
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Intersections sur des courbes modulaires.
Loic Merel (1993)
Manuscripta mathematica
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Period relations and the Tate conjecture for Hubert modular surfaces.
V.K. Murty, D. Ramakrishnan (1987)
Inventiones mathematicae
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Erratum to "On complex projective surfaces with trigonal hyperplane sections".
Antonio Lanteri, Sonia Brivio (1990)
Manuscripta mathematica
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Projective surfaces with bi-elliptic hyperplane sections.
Andrea Del Centina, Alessandro Gimigliano (1991)
Manuscripta mathematica
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Modular parametrizations of certain elliptic curves
Matija Kazalicki, Koji Tasaka (2014)
Acta Arithmetica
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Kaneko and Sakai (2013) recently observed that certain elliptic curves whose associated newforms (by the modularity theorem) are given by the eta-quotients can be characterized by a particular differential equation involving modular forms and Ramanujan-Serre differential operator. In this paper, we study certain properties of the modular parametrization associated to the elliptic curves over ℚ, and as a consequence we generalize and explain some of their findings. ...
Poncelet 5-gons and abelian surfaces.
Bernd Jakob (1994)
Manuscripta mathematica
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Hecke action and the degree of the modular parameterization
Arjune Budhram (2002)
Acta Arithmetica
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Diagonal Quotient Surfaces.
Ernst Kani, Wolfgang Schanz (1997)
Manuscripta mathematica
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