Monodromy Coordinates

Fuente: arXiv
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Bibliographic Details
Main Author: Brysiewicz, Taylor
Format: Preprint
Published: 2024
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_version_ 1866916228023451648
author Brysiewicz, Taylor
author_facet Brysiewicz, Taylor
contents We introduce the concept of monodromy coordinates for representing solutions to large polynomial systems. Representing solutions this way provides a time-memory trade-off in a monodromy solving algorithm. We describe an algorithm, which interpolates the usual monodromy solving algorithm, for computing such a representation and analyze its space and time complexity.
format Preprint
id arxiv_https___arxiv_org_abs_2403_14024
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Monodromy Coordinates
Brysiewicz, Taylor
Algebraic Geometry
14Q65, 68W20, 20P99
We introduce the concept of monodromy coordinates for representing solutions to large polynomial systems. Representing solutions this way provides a time-memory trade-off in a monodromy solving algorithm. We describe an algorithm, which interpolates the usual monodromy solving algorithm, for computing such a representation and analyze its space and time complexity.
title Monodromy Coordinates
topic Algebraic Geometry
14Q65, 68W20, 20P99
url https://arxiv.org/abs/2403.14024