2 papers
math.AC2026
Primes of bad reduction for systems of polynomial equations
Jesse Elliott, Éric Schost
Consider polynomials in $\K[X_1,\dots,X_n]$ over a field $\K$, their zero-set in $\Kbar^n$ and its decomposition into equidimensional components…
cs.SC2025
Refined bit complexity for the computation of at least one point per connected component of a smooth complete intersection real algebraic set
Jesse Elliott, Mark Giesbrecht, Edern Gillot +2
We refine the bit complexity analysis of an algorithm for the computation of at least one point per connected component of a smooth real algebraic set, yielding exponential speedup…