144579 20260217205516.0 doi 10.1007/s40687-024-00457-8 sideral 139412 ART-2024-139412 eng Cogolludo-Agustín, José Ignacio Universidad de Zaragoza (orcid)0000-0003-1820-6755 Duality for Poincaré series of surfaces and delta invariant of curves 2024 Access copy available to the general public Unrestricted In this article we study the delta invariant of reduced curve germs via topological techniques. We describe an explicit connection between the delta invariant of a curve embedded in a rational singularity and the topological Poincaré series of the ambient surface. This connection is established by using another formula expressing the delta invariant as ‘periodic constants’ of the Poincaré series associated with the abstract curve and a ‘twisted’ duality developed for the Poincaré series of the ambient space. info:eu-repo/grantAgreement/ES/DGA/E22-20R info:eu-repo/grantAgreement/ES/MICINN/PID2020-114750GB-C31/AEI/10.13039/501100011033 info:eu-repo/grantAgreement/ES/MICINN/RYC2021-034300-I info:eu-repo/semantics/openAccess by https://creativecommons.org/licenses/by/4.0/deed.es 1.2 2024 MATHEMATICS 84 / 492 = 0.171 2024 Q1 T1 0.956 2024 Applied Mathematics 2024 Q1 Theoretical Computer Science 2024 Q1 Mathematics (miscellaneous) 2024 Q1 Computational Mathematics 2024 Q1 2.2 2024 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion László, Tamás Martín-Morales, Jorge Universidad de Zaragoza (orcid)0000-0002-6559-4722 Némethi, András 2006 440 Universidad de Zaragoza Dpto. Matemáticas Área Geometría y Topología 11, 3 (2024), 47 [18 pp.] Research in Mathematical Sciences 2522-0144 460854 http://zaguan.unizar.es/record/144579/files/texto_completo.pdf Versión publicada 2373597 http://zaguan.unizar.es/record/144579/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:144579 articulos driver 2026-02-17-20:27:05 ARTICLE