7 citations · 14 across the 16 of their papers we have counts for
19 papers
Local polynomial factorisation: improving the Montes algorithm
Poteaux Adrien, Weimann Martin
We improve significantly the Nart-Montes algorithm for factoring polynomials over a complete discrete valuation ring . Our first contribution is to extend the Hensel le…
Fast computation of Riemann-Roch spaces for singular curves
Dounia Darkaoui, Martin Weimann
Let C be a projective curve defined over a field k and let D be a divisor of C. The Riemann-Roch space L(D) is the set of rational functions on C for which certain zeros are impose…
Hyperflex loci of hypersurfaces
Cristina Bertone, Martin Weimann
The -flex locus of a projective hypersurface is the locus of points such that there is a line with order of contact at least with at .…
Improvements of convex-dense factorization of bivariate polynomials
Martin Weimann
We develop a new algorithm for factoring a bivariate polynomial which takes fully advantage of the geometry of the Newton polygon of . Under a non degener…
Fast computation of integral bases
Adrien Poteaux, Martin Weimann
We obtain new complexity bounds for computing a triangular integral basis of a number field or a function field. We reach for function fields a softly linear cost with respect to t…
Polynomial factorization over henselian fields
Maria Alberich-Carramiñana, Jordi Guàrdia, Enric Nart +3
Given a valued field and an irreducible polynomial , we survey the ideas of Ore, Maclane, Okutsu, Montes, Vaquié and Herrera-Olalla-Mahboub-Spivakovsky, leading…