The rigid analytical regulator and K_2 of Drinfeld modular curves
Number Theory
2009-12-17 v1 K-Theory and Homology
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.
Keywords
Cite
@article{arxiv.0912.3123,
title = {The rigid analytical regulator and K_2 of Drinfeld modular curves},
author = {Ambrus Pal},
journal= {arXiv preprint arXiv:0912.3123},
year = {2009}
}
Comments
38 pages, to appear in Publ. Res. Inst. Math. Sci