The standard sign conjecture on algebraic cycles: The case of Shimura varieties

Sophie Morel; Junecue Suh

doi:10.1515/crelle-2016-0048

The standard sign conjecture on algebraic cycles: The case of Shimura varieties

Sophie Morel, Junecue Suh

Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We show how to deduce the standard sign conjecture (a weakening of the Künneth standard conjecture) for Shimura varieties from some statements about discrete automorphic representations (Arthur's conjectures plus a bit more).We also indicate what is known (to us) about these statements.

Original language	English (US)
Pages (from-to)	139-151
Number of pages	13
Journal	Journal fur die Reine und Angewandte Mathematik
Volume	2019
Issue number	748
DOIs	https://doi.org/10.1515/crelle-2016-0048
State	Published - Mar 1 2019

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1515/crelle-2016-0048

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abstract = "We show how to deduce the standard sign conjecture (a weakening of the K{\"u}nneth standard conjecture) for Shimura varieties from some statements about discrete automorphic representations (Arthur's conjectures plus a bit more).We also indicate what is known (to us) about these statements.",

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The standard sign conjecture on algebraic cycles: The case of Shimura varieties

Abstract

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