Generalized Broughton polynomials and characteristic varieties
Nguyen Tat Thang
TL;DR
This paper introduces a new family of generalized Broughton polynomials and calculates the characteristic varieties of the complements of certain curve arrangements defined by these polynomials.
Contribution
It extends the class of Broughton polynomials and provides explicit computations of characteristic varieties for associated curve arrangements.
Findings
Explicit formulas for characteristic varieties
Extension of Broughton polynomial family
New insights into curve arrangement complements
Abstract
We introduce a family of generalized Broughton polynomials and compute the characteristic varieties of complement of a curve arrangement defined by fibers of some generalized Broughton polynomials
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Nonlinear Waves and Solitons · Advanced Combinatorial Mathematics