Exponents of 2-multiarrangements and multiplicity lattices

Abstract

We introduce a concept of multiplicity lattices of 2-multiarrangements, determine the combinatorics and geometry of that lattice, and give a criterion and method to construct a basis for derivation modules effectively.

14 pages

References in corpus (2)

• Multiderivations of Coxeter arrangements
• The Euler multiplicity and addition-deletion theorems for multiarrangements

Cited by in corpus (2)

• Heavy hyperplanes in multiarrangements and their freeness
• A geometric perspective on plus-one generated arrangements of lines