Blurred combinatorics in resolution of singularities: (a little) beyond the characteristic polytope
Algebraic Geometry
2024-02-09 v1 Combinatorics
Abstract
We introduce a variation of the well-known Newton-Hironaka polytope for algebroid hypersurfaces. This combinatorial object is a perturbed version of the original one, parametrized by a real number. For well-chosen values of the parameter, the objects obtained are very close to the original, while at the same time presenting more (hopefully interesting) information in a way which does not depend on the choice of parameter.
Keywords
Cite
@article{arxiv.2402.05510,
title = {Blurred combinatorics in resolution of singularities: (a little) beyond the characteristic polytope},
author = {Helena Cobo and M. J. Soto and José M. Tornero},
journal= {arXiv preprint arXiv:2402.05510},
year = {2024}
}