English

The equivalence of Friedlander-Mazur and standard conjectures for threefolds

Algebraic Geometry 2021-11-05 v1

Abstract

We show that the Friedlander-Mazur conjecture holds for a complex smooth projective variety X of dimension three implies the standard conjectures hold for X. This together with a result of Friedlander yields the equivalence of the two conjectures in dimension three. From this we provide some new examples whose standard conjectures hold.

Keywords

Cite

@article{arxiv.2111.02669,
  title  = {The equivalence of Friedlander-Mazur and standard conjectures for threefolds},
  author = {Jin Cao and Wenchuan Hu},
  journal= {arXiv preprint arXiv:2111.02669},
  year   = {2021}
}