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arXiv · 0912.3123

The rigid analytical regulator and K_2 of Drinfeld modular curves

Ambrus Pal
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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.

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Ambrus Pal. 2009-12-16. The rigid analytical regulator and K_2 of Drinfeld modular curves. https://arxiv.org/abs/0912.3123

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