The universal Kolyvagin recursion implies the Kolyvagin recursion

Details The universal Kolyvagin recursion implies the Kolyvagin recursion The universal Kolyvagin recursion implies the Kolyvagin recursion

2002-10-18

arxiv.org/abs/math/0210300v1

Mathematics

Number Theory

14 pages

Scientific paper

let U_z 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 zero-th cohomology group of U_z/M U_z. We furthermore show that the universal Kolyvagin recursion implies the Kolyvagin recursion in the theory of Euler systems(cf. Theorem 4.5.4 of K. Rubin's book Euler systems). One certainly hopes this could lead a new way to find new Euler systems.

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