English

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

Algebraic Geometry 2014-09-18 v3 Number Theory

Abstract

We show how to deduce the standard sign conjecture (a weakening of the K\"unneth 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.

Keywords

Cite

@article{arxiv.1408.0461,
  title  = {The standard sign conjecture on algebraic cycles: the case of Shimura varieties},
  author = {Sophie Morel and Junecue Suh},
  journal= {arXiv preprint arXiv:1408.0461},
  year   = {2014}
}

Comments

Added some references to recent work