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Syntomic regulators andp-adic integration II:K 2 of curves

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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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Author notes

  1. Amnon Besser

    Present address: Department of Mathematics, Ben-Gurion University of the Negev, P.O.B. 653, 84105, Be’er-Sheva, Israel

Authors and Affiliations

  1. Department of Mathematical Sciences, University of Durham Science Laboratories, South Road, DH1 3LE, Durham, England

    Amnon Besser

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  1. Amnon Besser
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Correspondence to Amnon Besser.

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Besser, A. Syntomic regulators andp-adic integration II:K 2 of curves. Isr. J. Math. 120, 335–359 (2000). https://doi.org/10.1007/BF02834844

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  • DOI: https://doi.org/10.1007/BF02834844

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