Authors: | Plaumann, Daniel Sinn, Rainer Wesner, Jannik Lennart |
Title: | Families of faces and the normal cycle of a convex semi-algebraic set |
Language (ISO): | en |
Abstract: | We study families of faces for convex semi-algebraic sets via the normal cycle which is a semi-algebraic set similar to the conormal variety in projective duality theory. We propose a convex algebraic notion of a patch—a term recently coined by Ciripoi, Kaihnsa, Löhne, and Sturmfels as a tool for approximating the convex hull of a semi-algebraic set. We discuss geometric consequences, both for the semi-algebraic and convex geometry of the families of faces, as well as variations of our definition and their consequences. |
Subject Headings: | Semi-algebraic sets Convex sets Normal cycle Families of faces |
URI: | http://hdl.handle.net/2003/41731 http://dx.doi.org/10.17877/DE290R-23574 |
Issue Date: | 2022-08-06 |
Rights link: | https://creativecommons.org/licenses/by/4.0/ |
Appears in Collections: | Lehrstuhl VI Algebra und Geometrie |
Files in This Item:
File | Description | Size | Format | |
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s13366-022-00657-9.pdf | DNB | 878.13 kB | Adobe PDF | View/Open |
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