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math.AG2026
The Hermitian Distance degree of Tensor spaces
Davide Furchì
In this paper, we investigate the Hermitian distance minimization problem for determinantal varieties, the Segre variety, and the Veronese variety. In particular, for binary forms,…
math.AG2025
The Hermitian Distance degree of an Algebraic Variety
Davide Furchì
In this paper we develop an algebraic theory to study the problem of finding the minimum distance point from an algebraic variety with respect to the Hermitian distance function. T…
math.AG2024★ 1 cited
The Hermitian Killing form and root counting of complex polynomials with conjugate variables
Davide Furchì
Inspired by the work about solutions of a system of real polynomial equations done by Hermite, this paper introduces a Hermitian form, which encodes information about solutions of…