Algebraic Cycles and Residues of Degree 8 L-functions of GSp(4) x GL(2)

被引:0
作者
Lemma, Francesco [1 ]
机构
[1] Univ Paris Diderot, Inst Math Jussieu Paris Rive Gauche, UMR 7586, Batiment Sophie Germain,Case 7012, F-75205 Paris 13, France
关键词
MULTIPLICITY-ONE THEOREM; AUTOMORPHIC-FORMS; HIGHER REGULATORS; DISCRETE-SERIES; COHOMOLOGY;
D O I
10.1093/imrn/rny114
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove a cohomological formula for noncritical residues of degree 8 automorphic L-functions of GSp(4) x GL(2) in the spirit of Beilinson conjecture. We rely on the cohomological interpretation of an automorphic period integral and on the study of Novodvorsky's integral representation of the L-functions.
引用
收藏
页码:3614 / 3648
页数:35
相关论文
共 32 条
[1]  
[Anonymous], 1989, LONDON MATH SOC LECT
[2]   Generic transfer from GSp(4) to GL(4) [J].
Asgari, M ;
Shahidi, F .
COMPOSITIO MATHEMATICA, 2006, 142 (03) :541-550
[3]  
Beilinson A. A., 1986, Contemporary mathematics, V55, P35
[4]   COHERENT COHOMOLOGY, LIMITS OF DISCRETE-SERIES, AND GALOIS CONJUGATION [J].
BLASIUS, D ;
HARRIS, M ;
RAMAKRISHNAN, D .
DUKE MATHEMATICAL JOURNAL, 1994, 73 (03) :647-685
[5]  
Borel A., 1980, ANN MATH STUDIES
[6]  
Borel A., 1981, PROGR MATH, V14, P21
[7]  
CASSELMAN W, 1980, COMPOS MATH, V41, P207
[8]  
DELIGNE P., 1979, AUTOMORPHIC FORMS RE, V33, P313
[9]  
Griffith P., 1978, PRINCIPLES ALGEBRAIC
[10]   Period relations for cusp forms of GSp4 [J].
Grobner, Harald ;
Sebastian, Ronnie .
FORUM MATHEMATICUM, 2018, 30 (03) :581-598