Compatibility of arithmetic and algebraic local constants (the case l not equal p)

作者：Nekovar Jan^*

来源：Compositio Mathematica, 2015, 151(9): 1626-1646.

DOI：10.1112/S0010437X14008069

• local constants
• Selmer groups
• parity conjecture
• elliptic curves

We show that arithmetic local constants attached by Mazur and Rubin to pairs of self-dual Galois representations which are congruent modulo a prime number p > 2 are compatible with the usual local constants at all primes not dividing p and in two special cases also at primes dividing p. We deduce new cases of the p-parity conjecture for Selmer groups of abelian varieties with real multiplication (Theorem 4.14) and elliptic curves (Theorem 5.10).

• 出版日期2015-9