Euler Systems for $\mathrm{GSp}_4 \times \mathrm{GL}_2$

Chi-Yun Hsu; Zhaorong Jin; Ryotaro Sakamoto

Euler Systems for $\mathrm{GSp}_4 \times \mathrm{GL}_2$

Number Theory 2020-12-29 v2

Authors: Chi-Yun Hsu , Zhaorong Jin , Ryotaro Sakamoto

Abstract

For a non-endoscopic cohomological cuspidal automorphic representation of $\mathrm{GSp}_4 \times \mathrm{GL}_2$ , assumed to be $p$ -ordinary, we construct an Euler system for the Galois representation associated to it. Both the construction and the verification of tame norm relations are based on Novodvorsky's integral formula for the $L$ -function of $\mathrm{GSp}_4 \times \mathrm{GL}_2$ .

Keywords

automorphic representations galois representations euler characteristic

Cite

@article{arxiv.2011.12894,
  title  = {Euler Systems for $\mathrm{GSp}_4 \times \mathrm{GL}_2$},
  author = {Chi-Yun Hsu and Zhaorong Jin and Ryotaro Sakamoto},
  journal= {arXiv preprint arXiv:2011.12894},
  year   = {2020}
}

Comments

54 pages. Simplified proof of local formula for tame norm relations. Added assumptions for tame norm relation to exclude boundary weights which do not go through the current proof. Other minor corrections

Euler Systems for $\mathrm{GSp}_4 \times \mathrm{GL}_2$

Abstract

Keywords

Cite

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