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• W3037999823 abstract "We prove a new Bertini-type Theorem with explicit control of the genus, degree, height, and the field of definition of the constructed curve. As a consequence we provide a general strategy to reduce certain height and rank estimates on abelian varieties over a number field $K$ to the case of jacobian varieties defined over a suitable extension of $K$." @default.
• W3037999823 created "2020-07-02" @default.
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• W3037999823 date "2020-06-24" @default.
• W3037999823 modified "2023-09-27" @default.
• W3037999823 title "Bertini and Northcott" @default.
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