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

The Rigid Analytical Regulator and <em>K</em><sub>2</sub> of Drinfeld Modular Curves

  • Ambrus Pál

    Imperial College, London, UK
The Rigid Analytical Regulator and <em>K</em><sub>2</sub> of Drinfeld Modular Curves cover
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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 <em>K</em><sub>2</sub> of Drinfeld Modular Curves. Publ. Res. Inst. Math. Sci. 46 (2010), no. 2, pp. 289–334

DOI 10.2977/PRIMS/10