On the extended Catalan arrangement of type $B_\ell$
Hiraku Kawanoue
TL;DR
This paper provides an explicit formula for the generators of the logarithmic vector field associated with the coning of the extended Catalan arrangement of type B ll, advancing understanding of its algebraic structure.
Contribution
It introduces a new explicit formula for generators of the logarithmic vector field in the context of extended Catalan arrangements of type B ll.
Findings
Derived explicit formulas for the generators.
Enhanced understanding of the algebraic structure of the arrangement.
Potential applications in related combinatorial and geometric problems.
Abstract
We give an explicit formula for the generators of the logarithmic vector field of the coning of the extended Catalan arrangement of type .
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Advanced Algebra and Geometry · Advanced Mathematical Identities