Zeta elements in the <i>K</i>-theory of Drinfeld modular varieties

KONDO S., Yasuda S.

MATHEMATISCHE ANNALEN, vol.354, no.2, pp.529-587, 2012 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 354 Issue: 2
  • Publication Date: 2012
  • Doi Number: 10.1007/s00208-011-0735-3
  • Journal Name: MATHEMATISCHE ANNALEN
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.529-587
  • Middle East Technical University Northern Cyprus Campus Affiliated: No

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.