000144579 001__ 144579 000144579 005__ 20250923084427.0 000144579 0247_ $$2doi$$a10.1007/s40687-024-00457-8 000144579 0248_ $$2sideral$$a139412 000144579 037__ $$aART-2024-139412 000144579 041__ $$aeng 000144579 100__ $$0(orcid)0000-0003-1820-6755$$aCogolludo-Agustín, José Ignacio$$uUniversidad de Zaragoza 000144579 245__ $$aDuality for Poincaré series of surfaces and delta invariant of curves 000144579 260__ $$c2024 000144579 5060_ $$aAccess copy available to the general public$$fUnrestricted 000144579 5203_ $$aIn 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. 000144579 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E22-20R$$9info:eu-repo/grantAgreement/ES/MICINN/PID2020-114750GB-C31/AEI/10.13039/501100011033$$9info:eu-repo/grantAgreement/ES/MICINN/RYC2021-034300-I 000144579 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/ 000144579 590__ $$a1.2$$b2024 000144579 592__ $$a0.956$$b2024 000144579 591__ $$aMATHEMATICS$$b84 / 483 = 0.174$$c2024$$dQ1$$eT1 000144579 593__ $$aApplied Mathematics$$c2024$$dQ1 000144579 593__ $$aTheoretical Computer Science$$c2024$$dQ1 000144579 593__ $$aMathematics (miscellaneous)$$c2024$$dQ1 000144579 593__ $$aComputational Mathematics$$c2024$$dQ1 000144579 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000144579 700__ $$aLászló, Tamás 000144579 700__ $$0(orcid)0000-0002-6559-4722$$aMartín-Morales, Jorge$$uUniversidad de Zaragoza 000144579 700__ $$aNémethi, András 000144579 7102_ $$12006$$2440$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Geometría y Topología 000144579 773__ $$g11, 3 (2024), 47 [18 pp.]$$tResearch in Mathematical Sciences$$x2522-0144 000144579 8564_ $$s460854$$uhttps://zaguan.unizar.es/record/144579/files/texto_completo.pdf$$yVersión publicada 000144579 8564_ $$s2373597$$uhttps://zaguan.unizar.es/record/144579/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000144579 909CO $$ooai:zaguan.unizar.es:144579$$particulos$$pdriver 000144579 951__ $$a2025-09-22-14:40:49 000144579 980__ $$aARTICLE