MISC

2013年2月

ENDOSCOPIC LIFTS TO THE SIEGEL MODULAR THREEFOLD RELATED TO KLEIN'S CUBIC THREEFOLD

AMERICAN JOURNAL OF MATHEMATICS
  • Takeo Okazaki
  • ,
  • Takuya Yamauchi

135
1
開始ページ
183
終了ページ
205
記述言語
英語
掲載種別
DOI
10.1353/ajm.2013.0002
出版者・発行元
JOHNS HOPKINS UNIV PRESS

Let A(11)(lev) be the moduli space of (1, 11)-polarized abelian surfaces with a canonical level structure. Let x be a primitive character of order 5 with conductor 11. In this paper we construct five endoscopic lifts Pi(i), 0 <= i <= 4 from two elliptic modular forms f circle times x(i) of weight 2 and g circle times x(i) of weight 4 with complex multiplication by Q(root-11) such that Pi(i infinity) gives a non-holomorphic differential form on A(11)(lev) for each i, 0 <= i <= 4. Then their spinor L-functions are of form L(s - 1, f circle times x(i))L(s,g circle times x(i)) such that L(s,g circle times x(i)) does not appear in the L-function of A(11)(lev) for any i, 0 <= i <= 4. The existence of such lifts is motivated by the computation of the L-function of Klein's cubic threefold which is a birational smooth model of A(11)(lev).

リンク情報
DOI
https://doi.org/10.1353/ajm.2013.0002
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000320010500009&DestApp=WOS_CPL
ID情報
  • DOI : 10.1353/ajm.2013.0002
  • ISSN : 0002-9327
  • Web of Science ID : WOS:000320010500009

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