2003/08/30 by Ramesh Sreekantan, Sreekantan, Ramesh
Mathematics · #11G40 #11M38 #11R42 #14G25 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Number Theory (math.NT) #math.AG #math.NT #msc:11G40 #msc:11M38 #msc:11R42 #msc:14G25
paper · pdf · doi:10.48550/arxiv.math/0309004
15 pages
arxiv created 2003/08/30 · openalex publication_date 2003/08/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We define an analogue of the `Real' Deligne cohomology group at a prime of semi-stable or good reduction of a variety. We also define regulator maps to this group and formulate a conjecture about the image. This allows us to formulate a non-Archimedian version of Beilinson's Hodge-D-conjecture, S-integral and function field versions of Beilinson's global conjectures as well as a precise special value conjecture in the function field case. Finally we give a few examples where these conjectures are known to be true.