Effective bounds for polynomial systems defined over the rationals
Algebraic Geometry
2026-01-19 v2
Abstract
This survey paper was primarily written as as the support for a course pesented at the JNCF2025: it aims to present some material that illustrates the kind of estimates one can obtain in effective algebraic geometry, for affine polynomial equation systems defined over the rational numbers Q, and focuses on the case of finite varieties.
Cite
@article{arxiv.2506.18144,
title = {Effective bounds for polynomial systems defined over the rationals},
author = {Teresa Krick},
journal= {arXiv preprint arXiv:2506.18144},
year = {2026}
}
Comments
Survey, 19 pages. To appear in "Recent Trends of Computer Algebra", Texts & Monographs in Symbolic Computation