English

On codimension two flats in Fermat-type arrangements

Algebraic Geometry 2017-05-03 v1 Commutative Algebra Combinatorics

Abstract

In the present note we study certain arrangements of codimension 22 flats in projective spaces, we call them "Fermat arrangements". We describe algebraic properties of their defining ideals. In particular, we show that they provide counterexamples to an expected containment relation between ordinary and symbolic powers of homogeneous ideals.

Keywords

Cite

@article{arxiv.1705.00639,
  title  = {On codimension two flats in Fermat-type arrangements},
  author = {Grzegorz Malara and Justyna Szpond},
  journal= {arXiv preprint arXiv:1705.00639},
  year   = {2017}
}

Comments

9 pages

R2 v1 2026-06-22T19:33:03.964Z