An automorphic variant of the Deligne conjecture

Jie Lin

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arXiv · 1608.07643

An automorphic variant of the Deligne conjecture

Jie Lin

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Abstract

In this paper we introduce an automorphic variant of the Deligne conjecture for tensor product of two motives over a quadratic imaginary field. On one hand, we define some motivic periods and rewrite the Deligne conjecture in terms of these periods. On the other hand, we define the automorphic analogue of these motivic periods and then give a purely automorphic variant of the Deligne conjecture. At last, we introduce some known results of this automorphic variant.

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Jie Lin. 2016-08-27. An automorphic variant of the Deligne conjecture. https://arxiv.org/abs/1608.07643

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