131757 20240219150721.0 doi 10.1007/s13163-018-0280-7 sideral 108124 ART-2018-108124 eng Martín-Morales, Jorge (orcid)0000-0002-6559-4722 The correction term for the Riemann–Roch formula of cyclic quotient singularities and associated invariants 2018 This paper deals with the invariant ¿¿ called the RR-correction term, which appears in the Riemann–Roch and Numerical Adjunction Formulas for normal surface singularities. Typically, ¿¿=¿top¿-¿an¿ decomposes as difference of topological and analytical local invariants of its singularities. The invariant ¿top¿ is well understood and depends only on the dual graph of a good resolution. The purpose of this paper is to give a new interpretation for ¿an¿, which in the case of cyclic quotient singularities can be explicitly computed via generic divisors. We also include two types of applications: one is related to the McKay decomposition of reflexive modules in terms of special reflexive modules in the context of the McKay correspondence. The other application answers two questions posed by Blache (Abh Math Semin Univ Hambg 65:307–340, 1995) on the asymptotic behavior of the invariant ¿¿ of the pluricanonical divisor. Access copy available to the general public Unrestricted info:eu-repo/grantAgreement/ES/DGA/E22 info:eu-repo/grantAgreement/ES/MICINN/MTM2016-76868-C2-2-P info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 0.966 2018 MATHEMATICS 101 / 313 = 0.323 2018 Q2 T1 MATHEMATICS, APPLIED 153 / 254 = 0.602 2018 Q3 T2 0.749 2018 Mathematics (miscellaneous) 2018 Q2 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Cogolludo-Agustín, José Ignacio Universidad de Zaragoza (orcid)0000-0003-1820-6755 2006 440 Universidad de Zaragoza Dpto. Matemáticas Área Geometría y Topología 32, 2 (2018), 419–450 Rev. mat. complut. Revista Matematica Complutense 1139-1138 494305 http://zaguan.unizar.es/record/131757/files/texto_completo.pdf Postprint 1521436 http://zaguan.unizar.es/record/131757/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:131757 articulos driver 2024-02-19-13:25:34 ARTICLE