J. Malkoun

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20162025

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math.MG2020

Rational Maps and Boundaries of Convex Hulls

Joseph Malkoun

If $C_{n} (R^{d})$ denotes the configuration space of $n$ distinct points in $R^{d}$ , we construct a sequence of maps $(f_{m}),$ $m \geq 1$ , where \[f_m: C_n(\mathbb{R}^d)…

math.MG2019

Towards the Atiyah-Sutcliffe conjectures for coplanar hyperbolic points

Joseph Malkoun

The Atiyah-Sutcliffe normalized determinant function $D$ is a smooth complex-valued function on $C_{n} (H^{3})$ , where $C_{n} (H^{3})$ denotes the configuration space of $n$ distinct points…

math.MG2019

The Atiyah-Sutcliffe Determinant

Joseph Malkoun

We present a general formula for the Atiyah-Sutcliffe determinant function, which holds for any integer $n \geq 2$ , as a global factor times a sum of terms, with each term similar…