Some remarks on the moduli space of principally polarized abelian varieties with level -structure
Ryuji Sasaki (1993)
Compositio Mathematica
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Ryuji Sasaki (1993)
Compositio Mathematica
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We derive a relation between induced representations on the group which implies a relation between the jacobians of certain modular curves of level . 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 .
S. Giuffrida, R. Maggioni (2003)
Collectanea Mathematica
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We associate to every curve on a smooth quadric a polynomial equation that defines it as a divisor; this polynomial is defined through a matrix. In this way we can study several properties of these curves; in particular we can give a geometrical meaning to the rank of the matrix which defines the curve.