The Genus of Curves in P4 verifying certain Flag conditions.
L. Chiantini, C. Ciliberto (1995)
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L. Chiantini, C. Ciliberto (1995)
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Arnaldo Garcia (1986)
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Jihun Park (1998)
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Jens Piontkowski (1996)
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Luisella Caire (1991)
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Dilip P. Patil (1990)
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Robert C. Valentini (1995)
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Mika Seppälä (1982)
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Scott Nollet (1997)
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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.
Le Tuan Hoa (1991)
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Joe Harris (1980)
Mathematische Annalen
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Uwe Pflaum (1987)
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Yukihiro Uchida (2011)
Acta Arithmetica
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