131672 20240319080948.0 doi 10.1142/S0219199721500528 sideral 127426 ART-2022-127426 eng Cogolludo-Agustín J.I. Universidad de Zaragoza (orcid)0000-0003-1820-6755 Delta invariant of curves on rational surfaces I. An analytic approach 2022 Access copy available to the general public Unrestricted We prove that if (C, 0) is a reduced curve germ on a rational surface singularity (X, 0) then its delta invariant can be recovered by a concrete expression associated with the embedded topological type of the pair C X. Furthermore, we also identify it with another (a priori) embedded analytic invariant, which is motivated by the theory of adjoint ideals. Finally, we connect our formulae with the local correction term at singular points of the global Riemann-Roch formula, valid for projective normal surfaces, introduced by Blache. info:eu-repo/grantAgreement/ES/DGA-FEDER/Construyendo Europa desde Aragón info:eu-repo/grantAgreement/ES/DGA-FSE/Grupo Investigación de Algebra info:eu-repo/grantAgreement/ES/MICINN/MTM2016-76868-C2-2-P info:eu-repo/grantAgreement/ES/MICIU/SEV-2017-0718 info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 1.6 2022 MATHEMATICS 62 / 329 = 0.188 2022 Q1 T1 MATHEMATICS, APPLIED 105 / 267 = 0.393 2022 Q2 T2 1.39 2022 Mathematics (miscellaneous) 2022 Q1 Applied Mathematics 2022 Q1 2.9 2022 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion László T. Martín-Morales J. Universidad de Zaragoza (orcid)0000-0002-6559-4722 Némethi A. 2006 440 Universidad de Zaragoza Dpto. Matemáticas Área Geometría y Topología 24, 7 (2022), 2150052 [23 pp.] Commun. Contemp. Math. Communications in Contemporary Mathematics 0219-1997 402650 http://zaguan.unizar.es/record/131672/files/texto_completo.pdf Postprint 2353396 http://zaguan.unizar.es/record/131672/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:131672 articulos driver 2024-03-18-12:47:27 ARTICLE