• 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}
}
• Published 8 February 2018
• Mathematics
• arXiv: Number Theory
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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