Thetanullwerte on a moduli space of curves and hyperelliptic loci.
Shigeaki Tsuyumine (1991)
Mathematische Zeitschrift
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Shigeaki Tsuyumine (1991)
Mathematische Zeitschrift
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Nils Bruin, E. Victor Flynn, Damiano Testa (2014)
Acta Arithmetica
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We give a parametrization of curves C of genus 2 with a maximal isotropic (ℤ/3)² in J[3], where J is the Jacobian variety of C, and develop the theory required to perform descent via (3,3)-isogeny. We apply this to several examples, where it is shown that non-reducible Jacobians have non-trivial 3-part of the Tate-Shafarevich group.
Z. Ran, M.-C. Chang (1984)
Inventiones mathematicae
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Irwin Kra (1985)
Annales Polonici Mathematici
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J. Harris (1984)
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D. Eisenbud, J. Harris (1987)
Inventiones mathematicae
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Fontanari, Claudio (2001)
Rendiconti del Seminario Matematico
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Jennifer Paulhus (2008)
Acta Arithmetica
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Mika Seppälä (1990)
Compositio Mathematica
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Naoki Murabayashi (1994)
Manuscripta mathematica
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P. Katsylo (1996)
Commentarii mathematici Helvetici
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David Eisenbud, Joe Harris (1989)
Annales scientifiques de l'École Normale Supérieure
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