A family of irreducible free divisors in P^2
Ramakrishna Nanduri
TL;DR
This paper constructs an infinite family of irreducible free divisors in the polynomial ring in three variables, identifying specific monomial sets that generate free divisors.
Contribution
It introduces a new infinite family of irreducible free divisors in three-variable polynomial rings and characterizes monomial sets supporting these divisors.
Findings
Constructed an infinite family of irreducible free divisors in P^2.
Identified monomial sets supporting free divisors.
General polynomials supported on these sets are free divisors.
Abstract
An infinite family of irreducible homogeneous free divisors in is constructed. Indeed, we identify sets of monomials such that the general polynomial supported on is a free divisor.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Differential Equations and Dynamical Systems · Advanced Combinatorial Mathematics