Abelian varieties in and points of bounded degree on algebraic curves
Olivier Debarre, Rachid Fahlaoui (1993)
Compositio Mathematica
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Displaying similar documents to “Groups of components of Néron models of jacobians”
Abelian varieties in and points of bounded degree on algebraic curves
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David E. Rohrlich (1993)
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Torsion and Tamagawa numbers
Dino Lorenzini (2011)
Annales de l’institut Fourier
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Let be a number field, and let be an abelian variety. Let denote the product of the Tamagawa numbers of , and let denote the finite torsion subgroup of . The quotient is a factor appearing in the leading term of the -function of in the conjecture of Birch and Swinnerton-Dyer. We investigate in this article possible cancellations in this ratio. Precise results are obtained for elliptic curves over or quadratic extensions , and for abelian surfaces . The smallest possible...