Translator Disclaimer
April 2020 Blurred combinatorics in resolution of singularities: (A little) Beyond the characteristic polytope
Helena Cobo, M. J. Soto, José M. Tornero
Kyoto J. Math. 60(1): 269-289 (April 2020). DOI: 10.1215/21562261-2019-0037

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, parameterized by a real number εR0. 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 that does not depend on the choice of parameter.

Citation

Download Citation

Helena Cobo. M. J. Soto. José M. Tornero. "Blurred combinatorics in resolution of singularities: (A little) Beyond the characteristic polytope." Kyoto J. Math. 60 (1) 269 - 289, April 2020. https://doi.org/10.1215/21562261-2019-0037

Information

Received: 31 May 2017; Revised: 3 October 2017; Accepted: 4 October 2017; Published: April 2020
First available in Project Euclid: 5 December 2019

zbMATH: 07194833
MathSciNet: MR4065186
Digital Object Identifier: 10.1215/21562261-2019-0037

Subjects:
Primary: 14H20
Secondary: 32S25

Rights: Copyright © 2020 Kyoto University

JOURNAL ARTICLE
21 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.60 • No. 1 • April 2020
Back to Top