Regularity of roots of polynomials

DOI10.2422/2036-2145.201404_014zbMath1357.26023arXiv1309.2151OpenAlexW1878150178MaRDI QIDQ3188647

Armin Rainer, Adam Parusiński

Publication date: 11 August 2016

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.2151

zbMATH Keywords

resolution of singularitiesabsolute continuitymultiparameter families of polynomialsgeneralized discriminant idealsstratification of the space of polynomials

Mathematics Subject Classification ID

Modifications; resolution of singularities (complex-analytic aspects) (32S45) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Real polynomials: location of zeros (26C10) Absolutely continuous real functions in one variable (26A46)

Related Items (8)

Hyperbolic systems with non-diagonalisable principal part and variable multiplicities. I: Well-posedness ⋮ A locally convergent continuous-time algorithm to find all the roots of a time-varying polynomial ⋮ A regularity class for the roots of nonnegative functions ⋮ Quantitative tame properties of differentiable functions with controlled derivatives ⋮ Asynchronous global-local non-invasive coupling for linear elliptic problems ⋮ Sobolev lifting over invariants ⋮ Nodal sets of smooth functions with finite vanishing order and \(p\)-sweepouts ⋮ Selections of bounded variation for roots of smooth polynomials

This page was built for publication: Regularity of roots of polynomials