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Currently displaying 1 – 8 of 8

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Torsion and Tamagawa numbers

Dino Lorenzini — 2011

Annales de l’institut Fourier

Let $K$ be a number field, and let $A / K$ be an abelian variety. Let $c$ denote the product of the Tamagawa numbers of $A / K$ , and let $A {(K)}_{tors}$ denote the finite torsion subgroup of $A (K)$ . The quotient ${c / | A (K)}_{tors} |$ is a factor appearing in the leading term of the $L$ -function of $A / K$ 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 $ℚ$ or quadratic extensions $K / ℚ$ , and for abelian surfaces $A / ℚ$ . The smallest possible ratio...

Dual graphs of degenerating curves.

Dino J. Lorenzini — 1990

Mathematische Annalen

Torsion points on the modular jacobian $J_{0} (N)$

Dino J. Lorenzini — 1995

Compositio Mathematica

Jacobians with potentially good ...-reduction.

Dino J. Lorenzini — 1992

Journal für die reine und angewandte Mathematik

On the group of components of a Néron model.

Dino J. Lorenzini — 1993

Journal für die reine und angewandte Mathematik

Arithmetical graphs.

Dino J. Lorenzini — 1989

Mathematische Annalen

The characteristic polynomial of a monodromy transformation attached to a family of curves.

Dino J. Lorenzini — 1993

Commentarii mathematici Helvetici

Groups of components of Néron models of jacobians

Dino J. Lorenzini — 1990

Compositio Mathematica

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