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Invariants de classes : le cas semi-stable

数论 2009-11-11 v5 代数几何

摘要

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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引用

@article{arxiv.math/0304110,
  title  = {Invariants de classes : le cas semi-stable},
  author = {Jean Gillibert},
  journal= {arXiv preprint arXiv:math/0304110},
  year   = {2009}
}

备注

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