The Rigid Analytical Regulator and $K_2$ of Drinfeld Modular Curves

Ambrus Pál

doi:10.2977/prims/10

JournalsprimsVol. 46, No. 2pp. 289–334

The Rigid Analytical Regulator and $K_{2}$ of Drinfeld Modular Curves

Ambrus Pál
Imperial College, London, UK

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Abstract

We evaluate a rigid analytical analogue of the Beilinson–Bloch–Deligne regulator on certain explicit elements in the $K_{2}$ of Drinfeld modular curves, constructed from analogues of modular units, and relate its value to special values of $L$ -series using the Rankin–Selberg method.

Cite this article

Ambrus Pál, The Rigid Analytical Regulator and $K_{2}$ of Drinfeld Modular Curves. Publ. Res. Inst. Math. Sci. 46 (2010), no. 2, pp. 289–334

DOI 10.2977/PRIMS/10