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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

Information

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