An arithmetic of modular function fields of degree two

Ryuji Sasaki

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On the Siegel modular function field of degree three

S. Tsuyumine (1987)

Compositio Mathematica

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Some remarks on the moduli space of principally polarized abelian varieties with level $(2, 4)$ -structure

Ryuji Sasaki (1993)

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Construction of some classes in the cohomology of Siegel modular threefolds

Niels O. Nygaard (1995)

Compositio Mathematica

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On modular functions in 2 variables attached to a family of hyperelliptic curves of genus 3

Keiji Matsumoto (1989)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Relations between jacobians of modular curves of level $p^{2}$

Imin Chen, Bart De Smit, Martin Grabitz (2004)

Journal de Théorie des Nombres de Bordeaux

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We derive a relation between induced representations on the group ${GL}_{2} (ℤ / p^{2} ℤ)$ which implies a relation between the jacobians of certain modular curves of level $p^{2}$ . The motivation for the construction of this relation is the determination of the applicability of Mazur’s method to the modular curve associated to the normalizer of a non-split Cartan subgroup of ${GL}_{2} (ℤ / p^{2} ℤ)$ .

Displaying similar documents to “An arithmetic of modular function fields of degree two”

On the Siegel modular function field of degree three

Some remarks on the moduli space of principally polarized abelian varieties with level ( 2 , 4 ) -structure

Construction of some classes in the cohomology of Siegel modular threefolds

On modular functions in 2 variables attached to a family of hyperelliptic curves of genus 3

Relations between jacobians of modular curves of level p 2

Some remarks on the moduli space of principally polarized abelian varieties with level $(2, 4)$ -structure

Relations between jacobians of modular curves of level $p^{2}$