7 citations · 7 across the 1 of their papers we have counts for
4 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…