Points of canonical height zero on projective varieties
Item
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Title
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Points of canonical height zero on projective varieties
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Identifier
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d_2009_2013:0f78cbbfef4a:10444
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identifier
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10663
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Creator
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Bhatnagar, Anupam,
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Contributor
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Lucien Szpiro
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Date
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2010
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Language
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English
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Publisher
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City University of New York.
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Subject
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Mathematics
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Abstract
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Let k be an algebraically closed field of characteristic zero, C a smooth connected projective curve defined over k, K = k(C) the function field of C. Let Y be a projective K-variety, L a very ample line bundle on Y and psi : Y → Y a K-morphism such that psi* L ≅ L⊗d. We prove that a projective integral C-scheme Y is isotrivial when it is covered by a projective integral k-scheme X := X0 xk C, where X0 is a k-scheme. This result provides a setup for a conjecture of L. Szpiro on parametrization of points of canonical height zero of the dynamical system (Y, L, psi).
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Type
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dissertation
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Source
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2009_2013.csv
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degree
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Ph.D.
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Program
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Mathematics
