The rigid analytical regulator and K_2 of Drinfeld modular curves

Details The rigid analytical regulator and K_2 of Drinfeld modular curves The rigid analytical regulator and K_2 of Drinfeld modular curves

2009-12-16

arxiv.org/abs/0912.3123v1

Mathematics

Number Theory

38 pages, to appear in Publ. Res. Inst. Math. Sci

Scientific paper

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.

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