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arXiv · 2112.05579

Solving degree, last fall degree, and related invariants

Alessio Caminata·Elisa Gorla
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Abstract

In this paper we study and relate several invariants connected to the solving degree of a polynomial system. This provides a rigorous framework for estimating the complexity of solving a system of polynomial equations via Groebner bases methods. Our main results include a connection between the solving degree and the last fall degree and one between the degree of regularity and the Castelnuovo-Mumford regularity.

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Alessio Caminata, Elisa Gorla. 2021-12-10. Solving degree, last fall degree, and related invariants. https://arxiv.org/abs/2112.05579

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