The rigid analytical regulator and K₂ of Drinfeld modular curves

2009/12/16 by Ambrus Pál, Ambrus Pal, Pal, Ambrus
Mathematics · #11G05 #11G40 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #K-Theory and Homology (math.KT) #Number Theory (math.NT) #math.KT #math.NT #msc:11G05 #msc:11G40

paper · pdf · doi:10.48550/arxiv.0912.3123

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

arxiv created 2009/12/16 · openalex publication_date 2009/12/16 · arxiv updated 2010/01/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We evaluate a rigid analytical analogue of the Beilinson-Bloch-Deligne regulator on certain explicit elements in the K₂ 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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