The syntomic regulator for K_1 of surfaces


On Tuesday, September 29th, 2009, in room 2BC/60, h. 14:30,
Prof. Amnon Besser (Ben Gurion University) will give a talk "The syntomic regulator for K_1 of surfaces".

We consider certain elements in the algebraic K-group K_1 of a surface, given by a collection of curves on the surface together with rational functions on these curves such that the sum of all their divisors on the surface vanishes. These elements have been widely studied in algebraic and arithmetic geometry. for surfaces over the complex numbers their Beilinson regulators have been computed by Beilinson. We provide an analogous formula for surfaces over p-adic fields (under certain integrality assumptions) for the regulator into syntomic cohomology.

Rif. int. A. Bertapelle

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