Upper bounds for the number of isolated critical points via the Thom-Milnor theorem

DOI10.1007/s13324-023-00842-6zbMath1527.31008arXiv2307.00312OpenAlexW4386999044MaRDI QIDQ6076460

Vladimir Zolotov

Publication date: 17 October 2023

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2307.00312

zbMATH Keywords

Newtonian potentialpoint chargespoints of equilibrium

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Cites Work

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• Finiteness of central configurations of five bodies in the plane
• Euler configurations and quasi-polynomial systems
• Finiteness of relative equilibria of the four-body problem
• Mathematical problems for the next century
• An upper bound for the number of gravitationally lensed images in a multiplane point-mass ensemble
• Problems around polynomials: the good, the bad and the ugly\dots
• Nine equilibrium points of four point charges on the plane
• Generic Finiteness for Dziobek Configurations
• Borcea’s Variance Conjectures on the Critical Points of Polynomials
• Relative equilibria of the four-body problem
• A remark on Maxwell's conjecture for planar charges
• On the Critical Points of Non-Degenerate Newtonian Potentials
• On the number of equilibria balancing Newtonian point masses with a central force
• SINR diagrams
• Mystery of point charges
• The topology of wireless communication
• On the Betti Numbers of Real Varieties

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