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Invariants de classes : le cas semi-stable

Published online by Cambridge University Press:  21 June 2005

Jean Gillibert
Jean Gillibert
Affiliation:
Université de Caen, Laboratoire de Mathématiques Nicolas Oresme (CNRS umr 6139), BP 5186, 14032 Caen cedex, Francejean.gillibert@math.unicaen.fr
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Abstract

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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 an elliptic curve.

Keywords

torsorsline bundleselliptic curvesduality11G11R14K
Type
Research Article
Information
Compositio Mathematica , Volume 141 , Issue 4 , July 2005 , pp. 887 - 901
Copyright
Foundation Compositio Mathematica 2005