English

Tensor product of motives via K\"unneth formula

Algebraic Geometry 2020-07-29 v2 Category Theory Logic Representation Theory

Abstract

Following Nori's original idea we here provide certain motivic categories with a canonical tensor structure. These motivic categories are associated to a cohomological functor on a suitable base category and the tensor structure is induced by the cartesian tensor structure on the base category via a cohomological K\"unneth formula.

Keywords

Cite

@article{arxiv.1810.13266,
  title  = {Tensor product of motives via K\"unneth formula},
  author = {L. Barbieri-Viale and M. Prest},
  journal= {arXiv preprint arXiv:1810.13266},
  year   = {2020}
}

Comments

Revised version to appear on JPAA