• Corpus ID: 119319037

Deligne's conjecture for automorphic motives over CM-fields, Part I: factorization

@article{Grobner2018DelignesCF,
  title={Deligne's conjecture for automorphic motives over CM-fields, Part I: factorization},
  author={Harald Grobner and Michael Harris and Jiezhu Lin},
  journal={arXiv: Number Theory},
  year={2018}
}
This is the first of two papers devoted to the relations between Deligne's conjecture on critical values of motivic $L$-functions and the multiplicative relations between periods of arithmetically normalized automorphic forms on unitary groups. The present paper combines the Ichino-Ikeda-Neal Harris (IINH) formula with an analysis of cup products of coherent cohomological automorphic forms on Shimura varieties to establish relations between certain automorphic periods and critical values of… 
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TLDR
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