Syntomic regulators andp-adic integration II:K 2 of curves Academic Article uri icon

abstract

  • We show that the ad hoc regulator of Coleman and de Shalit for elements ofK2 of curves evaluated on a holomorphic differential is the same as the syntomic regulator of the same elements cup produced with the same differential. Combined with the results of Coleman and de Shalit this gives a relation between syntomic regulators and special values ofp-adicL-functions. The main technical innovation is the notion of a local index — a kind of generalized residue.

publication date

  • January 1, 2000