Families of faces and the normal cycle of a convex semi-algebraic set
| dc.contributor.author | Plaumann, Daniel | |
| dc.contributor.author | Sinn, Rainer | |
| dc.contributor.author | Wesner, Jannik Lennart | |
| dc.date.accessioned | 2023-06-12T10:47:25Z | |
| dc.date.available | 2023-06-12T10:47:25Z | |
| dc.date.issued | 2022-08-06 | |
| dc.description.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. | en |
| dc.identifier.uri | http://hdl.handle.net/2003/41731 | |
| dc.identifier.uri | http://dx.doi.org/10.17877/DE290R-23574 | |
| dc.language.iso | en | de |
| dc.relation.ispartofseries | Beitr. Algebra Geom.; | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | de |
| dc.subject | Semi-algebraic sets | en |
| dc.subject | Convex sets | en |
| dc.subject | Normal cycle | en |
| dc.subject | Families of faces | en |
| dc.subject.ddc | 510 | |
| dc.title | Families of faces and the normal cycle of a convex semi-algebraic set | en |
| dc.type | Text | de |
| dc.type.publicationtype | article | de |
| dcterms.accessRights | open access | |
| eldorado.secondarypublication | true | de |
| eldorado.secondarypublication.primarycitation | Plaumann, D., Sinn, R. & Wesner, J.L. Families of faces and the normal cycle of a convex semi-algebraic set. Beitr Algebra Geom (2022). https://doi.org/10.1007/s13366-022-00657-9 | de |
| eldorado.secondarypublication.primaryidentifier | https://doi.org/10.1007/s13366-022-00657-9 | de |