Title	Relations between polynomial solutions, extensions, radical ideals and Lipschitz normal embeddings.
Creator	Michalska, Maria
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-10-22T15:32
Description	Take polynomials $f,g\in k[X]$, where $k$ is the field of complex or real numbers. Under certain assumptions we show equivalence of the following conditions: (i) $(f,g)$ is radical (ii) for every polynomial $h$ if there exists a pointwise solution of $$ A\cdot f + B\cdot g =h $$ then there exists its polynomial solution (iii) every continuous function $$ F=\left\{\begin{array}{ll} \alpha & on\ \{f=0\}\\ \beta & on\ \{g=0\} \end{array}\right. $$ with $\alpha,\beta\in{k}[X]$, is a restriction of a polynomial. We will discuss relation of (i-iii) with Lipschitz normal embeddings. Work in progress.
Extent	57.0
Subject	Mathematics; Algebraic geometry; Several complex variables and analytic spaces
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: ICMC-USP/University of Lodz
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2019-04-21
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0378341
URI	http://hdl.handle.net/2429/69816
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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