On codimension two flats in Fermat-type arrangements

2017/05/01 by Grzegorz Malara, Malara, Grzegorz, Justyna Szpond +1
Mathematics · #13C05 #13F20 #14N05 #14N20 #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.AG #math.CO #msc:13C05 #msc:13F20 #msc:14N05 #msc:14N20

paper · pdf · doi:10.48550/arxiv.1705.00639

9 pages

arxiv created 2017/05/01 · arxiv updated 2017/05/03

Abstract

In the present note we study certain arrangements of codimension 2 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.

Related

• Fermat-type arrangements
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