Strata of discriminantal arrangements

2016/01/25 by Libgober, A., Settepanella, S. · 1 citation
#52C35 52B35 20F36 14-XX 05B35 #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1601.06475

Abstract

We give an explicit description of the multiplicities of codimension two strata of discriminantal arrangements introduced by Manin and Schechtman. As applications, we discuss the connection of these results with properties of Gale transform and we calculate the fundamental groups of the complements to discriminantal arrangements.

Cited by

• Arithmetic non-very generic arrangements

Related

• Complements of discriminants of simple real function singularities
• Degeneration in discriminantal arrangements
• Minimal stratifications for line arrangements and positive homogeneous presentations for fundamental groups
• Homological Properties of Determinantal Arrangements
• Discriminants and Artin conductors