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Variation of the canonical height for a family of polynomials

โœ Scribed by Ingram, Patrick


Book ID
121873019
Publisher
Walter de Gruyter GmbH & Co. KG
Year
2013
Tongue
English
Weight
349 KB
Volume
2013
Category
Article
ISSN
0075-4102

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Variation of the canonical height for a
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A theorem of Tate asserts that, for an elliptic surface E ! X defined over a number field k, and a section P W X ! E, there exists a divisor D D D

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We define a certain type of bases of polynomial ideals whose usefulness stems from the fact that a number of computability problems in the theory of polynomial ideals (e.g. the problem of constructing canonical forms for polynomials) is reducible to the construction of bases of this type. We prove a