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2005/10/19 | 欧拉系统[Euler System]
类别(∑〖数学〗)
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发表于 20:02
A mathematical structure first introduced by Kolyvagin (1990) and defined as follows. Let
be a finite-dimensional
-adic representation of the
Galois group
of a
number field
. Then an Euler system for
is a collection of
cohomology classes
for a family of Abelian extensions
of
, with a relation between
and
whenever
(Rubin 2000, p. 4).
Wiles' proof of
Fermat's last theorem
via the
Taniyama-Shimura conjecture
made use of Euler systems.
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