Numerical adjunction formulas for weighted projective planes and lattice points counting

Cogolludo Agustín, José Ignacio (Universidad de Zaragoza) ; Martín Morales, Jorge ; Ortigas Galindo, Jorge (Universidad de Zaragoza)

Resumen: This article gives an explicit formula for the Ehrhart quasipolynomial of certain 2-dimensional polyhedra in terms of invariants of surface quotient singularities. Also, a formula for the dimension of the space of quasihomogeneous polynomials of a given degree is derived. This admits an interpretation as a numerical adjunction formula for singular curves on the weighted projective plane

Idioma: Inglés

DOI: 10.1215/21562261-3600184

Año: 2016

Publicado en: KYOTO JOURNAL OF MATHEMATICS 56, 3 (2016), 575-598
ISSN: 2156-2261

Factor impacto JCR: 0.324 (2016)

Categ. JCR: MATHEMATICS rank: 284 / 310 = 0.916 (2016) - Q4 - T3

Financiación: info:eu-repo/grantAgreement/ES/DGA/E15
Financiación: info:eu-repo/grantAgreement/ES/MICINN/MTM2013-45710-C2-1-P

Tipo y forma: Article (Published version)

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