Generic consistency and nondegeneracy of vertically parametrized systems

E Feliu, O Henriksson, B Pascual-Escudero - arxiv preprint arxiv …, 2023 - arxiv.org
We determine the generic consistency, dimension and nondegeneracy of the zero locus
over $\mathbb {C}^* $, $\mathbb {R}^* $ and $\mathbb {R} _ {> 0} $ of vertically …

Wronski Pairs of Honeycomb Curves

L Casabella, M Joswig, R Mohr - arxiv preprint arxiv:2411.10776, 2024 - arxiv.org
We study certain generic systems of real polynomial equations associated with
triangulations of convex polytopes and investigate their number of real solutions. Our main …

Fast algebraic algorithms for arithmetic geometry and polynomial systems

PJ Spaenlehauer - 2025 - inria.hal.science
This document summarizes my research work since my Ph. D. thesis defense in 2012. The
common denominator of my research is the study of geometric objects by means of symbolic …