Delta invariant of curves on rational surfaces I. An analytic approach

Cogolludo-Agustín J.I. (Universidad de Zaragoza) ; László T. ; Martín-Morales J. (Universidad de Zaragoza) ; Némethi A.

Resumen: 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.

Idioma: Inglés

DOI: 10.1142/S0219199721500528

Año: 2022

Publicado en: Communications in Contemporary Mathematics 24, 7 (2022), 2150052 [23 pp.]
ISSN: 0219-1997

Factor impacto JCR: 1.6 (2022)

Categ. JCR: MATHEMATICS rank: 62 / 329 = 0.188 (2022) - Q1 - T1
Categ. JCR: MATHEMATICS, APPLIED rank: 105 / 267 = 0.393 (2022) - Q2 - T2

Factor impacto CITESCORE: 2.9 - Mathematics (Q2)

Factor impacto SCIMAGO: 1.39 - Mathematics (miscellaneous) (Q1) - Applied Mathematics (Q1)

Financiación: info:eu-repo/grantAgreement/ES/DGA-FEDER/Construyendo Europa desde Aragón
Financiación: info:eu-repo/grantAgreement/ES/DGA-FSE/Grupo Investigación de Algebra
Financiación: info:eu-repo/grantAgreement/ES/MICINN/MTM2016-76868-C2-2-P
Financiación: info:eu-repo/grantAgreement/ES/MICIU/SEV-2017-0718

Tipo y forma: Artículo (PostPrint)

Área (Departamento): Área Geometría y Topología (Dpto. Matemáticas)