The Universal Kolyvagin Recursion Implies the Kolyvagin Recursion
نویسندگان
چکیده
منابع مشابه
The Universal Kolyvagin Recursion Implies the Kolyvagin Recursion
Let Uz be the universal norm distribution and M a fixed power of prime p, by using the double complex method employed by Anderson, we study the universal Kolyvagin recursion occurred in the canonical basis in the cohomology group H(Gz ,Uz/MUz). We furthermore show that the universal Kolyvagin recursion implies the Kolyvagin recursion in the theory of Euler systems. One certainly hopes this coul...
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Since their introduction by Kolyvagin in [Ko], Euler systems have been used in several important applications in arithmetic algebraic geometry. For a p-adic Galois module T , Kolyvagin’s machinery is designed to provide an upper bound for the size of a Selmer group associated to the Cartier dual of T . Kolyvagin’s method proceeds in three steps. The first step is to establish an Euler system as...
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Let F be a finite real abelian extension of Q. Let M be an odd positive integer. For every squarefree positive integer r the prime factors of which are congruent to 1 modulo M and split completely in F, the corresponding Kolyvagin class κr ∈ F×/F×M satisfies a remarkable and crucial recursion which for each prime number l dividing r determines the order of vanishing of κr at each place of F abo...
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ژورنال
عنوان ژورنال: Acta Mathematica Sinica, English Series
سال: 2006
ISSN: 1439-8516,1439-7617
DOI: 10.1007/s10114-005-0875-z