Projective Models of Shioda Modular Surfaces.
Wolf Barth, Klaus Hulek (1985)
Manuscripta mathematica
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Wolf Barth, Klaus Hulek (1985)
Manuscripta mathematica
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F. Hirzebruch, D. Zagier (1976)
Inventiones mathematicae
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Takeshi Sato (1991)
Mathematische Annalen
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Masataka Chida (2005)
Acta Arithmetica
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Holzapfel, R. (2004)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 11G15, 11G18, 14H52, 14J25, 32L07. We call a complex (quasiprojective) surface of hyperbolic type, iff – after removing finitely many points and/or curves – the universal cover is the complex two-dimensional unit ball. We characterize abelian surfaces which have a birational transform of hyperbolic type by the existence of a reduced divisor with only elliptic curve components and maximal singularity rate (equal to 4). We discover a...
D. Joyner (1990)
Mathematische Zeitschrift
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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. ...
Bruce Hunt (1990)
Compositio Mathematica
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Shoetsu Ogata (1993)
Mathematische Zeitschrift
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Wilfried Hausmann (1982)
Mathematische Annalen
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David Joyner (1990)
Mathematische Zeitschrift
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H.G. Grundmann (1994)
Mathematische Annalen
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Rebecca Barlow (1985)
Inventiones mathematicae
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