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Zeta elements in the K-theory of Drinfeld modular varieties

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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.

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Authors and Affiliations

  1. Institute for the Physics and Mathematics of the Universe, University of Tokyo, 5-1-5 Kashiwanoha, Kashiwa, 277-8583, Japan

    Satoshi Kondo

  2. Research Institute for Mathematical Sciences, Kyoto University, Kitashirakawa-Oiwakecho, Sakyo-ku, Kyoto, 606-8502, Japan

    Seidai Yasuda

Authors
  1. Satoshi Kondo
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  2. Seidai Yasuda
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Correspondence to Satoshi Kondo.

Additional information

During this research, the first author was supported as a Twenty-First Century COE Kyoto Mathematics Fellow, was partially supported by JSPS Grant-in-Aid for Scientific Research 17740016 and by World Premier International Research Center Initiative (WPI Initiative), MEXT, Japan. The second author was partially supported by JSPS Grant-in-Aid for Scientific Research 21540013, 16244120.

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Kondo, S., Yasuda, S. Zeta elements in the K-theory of Drinfeld modular varieties. Math. Ann. 354, 529–587 (2012). https://doi.org/10.1007/s00208-011-0735-3

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  • DOI: https://doi.org/10.1007/s00208-011-0735-3

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