Syntomic regulators andp-adic integration II:K 2 of curves |
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| Authors: | Amnon Besser |
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| Affiliation: | (1) Department of Mathematical Sciences, University of Durham Science Laboratories, South Road, DH1 3LE Durham, England;(2) Present address: Department of Mathematics, Ben-Gurion University of the Negev, P.O.B. 653, 84105 Be’er-Sheva, Israel |
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| Abstract: | We show that the ad hoc regulator of Coleman and de Shalit for elements ofK 2 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. |
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