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math.AG2026
Differential Operators on -Invariant Functions
Ferdinand Kafando, Jean Kaboré, Ibrahim Nonkané
We generalize known results on normalized symmetric coordinates and their dual differential operators, established for the symmetric group, to the complex monomial reflection group…
math.AG2024
Effective Bounds on Topological Types of Real Algebraic and Semialgebraic Sets
Kartoue Mady Demdah, Ibrahim Nonkane
In this paper, we revisit the problem of classifying real algebraic and semialgebraic sets by their topological types, focusing on establishing the effectiveness of bounds rather t…
math.AG2021
Higher Specht polynomials and modules over the Weyl algebra
Ibrahim Nonkane, Leonard Todjihounde
In this paper, we study an irreducible decomposition structure of the $\Dc$-module direct image $π_+(\Oc_{ \bC^n})$ for the finite map $π: \bC^n \to \bC^n/ ({\Sc_{n_1}\times \cdots…