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Mathematische Annalen

, Volume 354, Issue 2, pp 529–587 | Cite as

Zeta elements in the K-theory of Drinfeld modular varieties

  • Satoshi KondoEmail author
  • Seidai Yasuda
Article

Abstract

Beilinson (Contemp Math 55:1–34, 1986) constructs special elements in the second K-group of an elliptic modular curve, and shows that the image under the regulator map is related to the special values of the L-functions of elliptic modular forms. In this paper, we give an analogue of this result in the context of Drinfeld modular varieties.

Mathematics Subject Classification (2000)

Primary 11G09 Secondary 11F52 11F67 

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Copyright information

© Springer-Verlag 2011

Authors and Affiliations

  1. 1.Institute for the Physics and Mathematics of the UniverseUniversity of TokyoKashiwaJapan
  2. 2.Research Institute for Mathematical SciencesKyoto UniversityKyotoJapan

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