Confocal families of plane algebraic curves

Fuente: arXiv
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Hauptverfasser: Piene, Ragni, Shapiro, Boris
Format: Preprint
Veröffentlicht: 2026
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author Piene, Ragni
Shapiro, Boris
author_facet Piene, Ragni
Shapiro, Boris
contents We study families of plane algebraic curves sharing the same set of foci. We reformulate confocality via a focal map on equiclassical families and analyze its fibers using deformation theory.
format Preprint
id arxiv_https___arxiv_org_abs_2604_25293
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Confocal families of plane algebraic curves
Piene, Ragni
Shapiro, Boris
Algebraic Geometry
Complex Variables
14A10
We study families of plane algebraic curves sharing the same set of foci. We reformulate confocality via a focal map on equiclassical families and analyze its fibers using deformation theory.
title Confocal families of plane algebraic curves
topic Algebraic Geometry
Complex Variables
14A10
url https://arxiv.org/abs/2604.25293