Invariants de classes : le cas semi-stable

Details Invariants de classes : le cas semi-stable Invariants de classes : le cas semi-stable

2003-04-08

arxiv.org/abs/math/0304110v5

Compositio Math. 141 (2005), 887-901

Mathematics

Number Theory

16 pages, LaTeX. Minor changes. Accepted for publication in Compositio Mathematica

Scientific paper

10.1112/S0010437X05001594

We define here an analogue, for a semi-stable group scheme whose generic
fiber is an abelian variety, of M. J. Taylor's class-invariant homomorphism
(defined for abelian schemes), and we give a geometric description of it. Then
we extend a result of Taylor, Srivastav, Agboola and Pappas concerning the
kernel of this homomorphism in the case of a semi-stable elliptic curve.

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