Limit distribution of Hodge spectral exponents of plane curve singularities

Authors

  • Roger Gómez López Universitat Politècnica de Catalunya

Keywords:

Hodge spectral exponents, plane curve singularities

Abstract

K. Saito va formular la pregunta de si una distribució contínua és el límit de la distribució a l’interval [0, 1) dels exponents espectrals de Hodge d’una hipersuperfície, quan aquesta es mou en un sentit que s’ha de precisar. Ell ho va demostrar per a corbes planes irreductibles amb un límit molt específic. En aquest treball ens centrem en el cas de corbes planes irreductibles, per les quals explorem diferents formes d’assolir la distribució límit. També estudiem a on la distribució contínua és una cota superior per a la funció de distribució acumulada d’aquests invariants.

Downloads

Published

2024-01-26

How to Cite

Gómez López, R. (2024). Limit distribution of Hodge spectral exponents of plane curve singularities. Reports@SCM, 8(1), 53–54. Retrieved from https://revistes.iec.cat/index.php/reports/article/view/151066

Issue

Vol. 8 No. 1 (2023)

Section

Extended Abstracts

License

The intellectual property of articles belongs to the respective authors.
On submitting articles for publication to the journal Reports@SCM, authors accept the following terms:
  1. Authors assign to Societat Catalana de Matemàtiques (a subsidiary of Institut d’Estudis Catalans) the rights of reproduction, communication to the public and distribution of the articles submitted for publication to Reports@SCM.
  2. Authors answer to Societat Catalana de Matemàtiques for the authorship and originality of submitted articles.
  3. Authors are responsible for obtaining permission for the reproduction of all graphic material included in articles.
  4. Societat Catalana de Matemàtiques declines all liability for the possible infringement of intellectual property rights by authors.
  5. The contents published in the journal, unless otherwise stated in the text or in the graphic material, are subject to a Creative Commons Attribution-NonCommercial-NoDerivs (by-nc-nd) 3.0 Spain licence, the complete text of which may be found at https://creativecommons.org/licenses/by-nc-nd/3.0/es/deed.en. Consequently, the general public is authorised to reproduce, distribute and communicate the work, provided that its authorship and the body publishing it are acknowledged, and that no commercial use and no derivative works are made of it.
  6. The journal Reports@SCM is not responsible for the ideas and opinions expressed by the authors of the published articles.