Comptes Rendus
Erratum - Algebraic geometry, Singularity theory
Corrigendum to “Hodge–Lyubeznik numbers”
Ricardo García López1; Claude Sabbah2
1 Departament de Matemàtiques i Informàtica, Universitat de Barcelona, Gran Vía 585, 08007 Barcelona, Spain
2 CMLS, CNRS, École polytechnique, Institut Polytechnique de Paris, 91128 Palaiseau cedex, France
Comptes Rendus. Mathématique, Volume 363 (2025), pp. 843-844
corrects Hodge–Lyubeznik numbers

A Tate twist is missing in the exact sequence of Example (1), leading to incorrect formulas for some Hodge–Lyubeznik numbers, as noticed by Bradley Dirks. We provide the correct formulas.

Un twist de Tate est manquant dans la suite exacte de l’Exemple (1), induisant des formules incorrectes pour certains nombres de Hodge–Lyubeznik, comme remarqué par Bradley Dirks. Nous donnons les formules correctes.

Received:
Accepted:
Published online:
DOI: 10.5802/crmath.773
Classification: 13D45, 14B15, 32S35
Keywords: Hodge numbers, Lyubeznik numbers, mixed Hodge modules
Mots-clés : Nombres de Hodge, nombres de Lyubeznik, modules de Hodge mixtes

Ricardo García López 1; Claude Sabbah 2

1 Departament de Matemàtiques i Informàtica, Universitat de Barcelona, Gran Vía 585, 08007 Barcelona, Spain
2 CMLS, CNRS, École polytechnique, Institut Polytechnique de Paris, 91128 Palaiseau cedex, France
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
@article{CRMATH_2025__363_G9_843_0,
     author = {Ricardo Garc{\'\i}a L\'opez and Claude Sabbah},
     title = {Corrigendum to {{\textquotedblleft}Hodge{\textendash}Lyubeznik} numbers{\textquotedblright}},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {843--844},
     year = {2025},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {363},
     doi = {10.5802/crmath.773},
     language = {en},
}
TY  - JOUR
AU  - Ricardo García López
AU  - Claude Sabbah
TI  - Corrigendum to “Hodge–Lyubeznik numbers”
JO  - Comptes Rendus. Mathématique
PY  - 2025
SP  - 843
EP  - 844
VL  - 363
PB  - Académie des sciences, Paris
DO  - 10.5802/crmath.773
LA  - en
ID  - CRMATH_2025__363_G9_843_0
ER  - 
%0 Journal Article
%A Ricardo García López
%A Claude Sabbah
%T Corrigendum to “Hodge–Lyubeznik numbers”
%J Comptes Rendus. Mathématique
%D 2025
%P 843-844
%V 363
%I Académie des sciences, Paris
%R 10.5802/crmath.773
%G en
%F CRMATH_2025__363_G9_843_0
Ricardo García López; Claude Sabbah. Corrigendum to “Hodge–Lyubeznik numbers”. Comptes Rendus. Mathématique, Volume 363 (2025), pp. 843-844. doi: 10.5802/crmath.773

[1] Ricardo García López; Claude Sabbah Hodge–Lyubeznik numbers, C. R. Math., Volume 363 (2025), pp. 213-221 | DOI

[2] Jianbo Wang; Zhiwang Yu; Yuyu Wang Examples of diffeomorphic complete intersections with different Hodge numbers, Topology Appl., Volume 339 (2023), 108690, 6 pages | DOI | Zbl | MR

Cited by Sources:

Comments - Policy

Articles of potential interest

Hodge–Lyubeznik numbers

Ricardo García López; Claude Sabbah

(2025)