English

Some cubics with finite-dimensional motive

Algebraic Geometry 2017-08-21 v1

Abstract

This small note presents in any dimension a family of cubics that have finite-dimensional motive (in the sense of Kimura). As an illustration, we verify a conjecture of Voevodsky for these cubics, and a conjecture of Murre for the Fano variety of lines of these cubics.

Keywords

Cite

@article{arxiv.1708.05671,
  title  = {Some cubics with finite-dimensional motive},
  author = {Robert Laterveer},
  journal= {arXiv preprint arXiv:1708.05671},
  year   = {2017}
}

Comments

7 pages, to appear in Boletin Soc. Mat. Mexicana, comments welcome. arXiv admin note: substantial text overlap with arXiv:1611.08820, arXiv:1611.08818

R2 v1 2026-06-22T21:18:07.795Z