On Projective Delineability

Fuente: arXiv
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Bibliographische Detailangaben
Hauptverfasser: Michel, Lucas, Nalbach, Jasper, Mathonet, Pierre, Zénaïdi, Naïm, Brown, Christopher W., Ábrahám, Erika, Davenport, James H., England, Matthew
Format: Preprint
Veröffentlicht: 2024
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author Michel, Lucas
Nalbach, Jasper
Mathonet, Pierre
Zénaïdi, Naïm
Brown, Christopher W.
Ábrahám, Erika
Davenport, James H.
England, Matthew
author_facet Michel, Lucas
Nalbach, Jasper
Mathonet, Pierre
Zénaïdi, Naïm
Brown, Christopher W.
Ábrahám, Erika
Davenport, James H.
England, Matthew
contents We consider cylindrical algebraic decomposition (CAD) and the key concept of delineability which underpins CAD theory. We introduce the novel concept of projective delineability which is easier to guarantee computationally. We prove results about this which can allow reduced CAD computations.
format Preprint
id arxiv_https___arxiv_org_abs_2411_13300
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On Projective Delineability
Michel, Lucas
Nalbach, Jasper
Mathonet, Pierre
Zénaïdi, Naïm
Brown, Christopher W.
Ábrahám, Erika
Davenport, James H.
England, Matthew
Algebraic Geometry
Symbolic Computation
14Q20, 14Q30
I.1.0
We consider cylindrical algebraic decomposition (CAD) and the key concept of delineability which underpins CAD theory. We introduce the novel concept of projective delineability which is easier to guarantee computationally. We prove results about this which can allow reduced CAD computations.
title On Projective Delineability
topic Algebraic Geometry
Symbolic Computation
14Q20, 14Q30
I.1.0
url https://arxiv.org/abs/2411.13300