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000131810 001__ 131810 000131810 005__ 20240219150722.0 000131810 0247_ $$2doi$$a10.1215/21562261-3600184 000131810 0248_ $$2sideral$$a90598 000131810 037__ $$aART-2016-90598 000131810 041__ $$aeng 000131810 100__ $$0(orcid)0000-0003-1820-6755$$aCogolludo Agustín, José Ignacio$$uUniversidad de Zaragoza 000131810 245__ $$aNumerical adjunction formulas for weighted projective planes and lattice points counting 000131810 260__ $$c2016 000131810 5060_ $$aAccess copy available to the general public$$fUnrestricted 000131810 5203_ $$aThis 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 000131810 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E15$$9info:eu-repo/grantAgreement/ES/MICINN/MTM2013-45710-C2-1-P 000131810 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000131810 590__ $$a0.324$$b2016 000131810 591__ $$aMATHEMATICS$$b284 / 310 = 0.916$$c2016$$dQ4$$eT3 000131810 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000131810 700__ $$0(orcid)0000-0002-6559-4722$$aMartín Morales, Jorge 000131810 700__ $$0(orcid)0000-0002-6635-8780$$aOrtigas Galindo, Jorge$$uUniversidad de Zaragoza 000131810 7102_ $$12006$$2440$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Geometría y Topología 000131810 7102_ $$12006$$2015$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Análisis Matemático 000131810 773__ $$g56, 3 (2016), 575-598$$pKYOTO JOURNAL OF MATHEMATICS$$tKYOTO JOURNAL OF MATHEMATICS$$x2156-2261 000131810 8564_ $$s557830$$uhttps://zaguan.unizar.es/record/131810/files/texto_completo.pdf$$yVersión publicada 000131810 8564_ $$s1716245$$uhttps://zaguan.unizar.es/record/131810/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000131810 909CO $$ooai:zaguan.unizar.es:131810$$particulos$$pdriver 000131810 951__ $$a2024-02-19-13:26:48 000131810 980__ $$aARTICLE
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