English

Deformation classes of real Cayley M-octads

Algebraic Geometry 2019-07-11 v1

Abstract

We study 8-point configurations in the real projective space forming an intersection locus of three quadrics and containing no coplanar quadruples. We found that there exists precisely 8 mirror-pairs of deformation classes of such configurations. We describe also the mutual position of these 8 pairs and find the real monodromy groups acting on the 8-point configurations, for each deformation class.

Keywords

Cite

@article{arxiv.1907.04792,
  title  = {Deformation classes of real Cayley M-octads},
  author = {Sergey Finashin},
  journal= {arXiv preprint arXiv:1907.04792},
  year   = {2019}
}

Comments

17 pages

R2 v1 2026-06-23T10:17:38.887Z