Numerical Adjunction Formulas for Weighted Projective Planes and Lattice Points Counting

Authors :: Cogolludo-Agustin, J. I.
Martin-Morales, J.
Ortigas-Galindo, J.
Source :: Kyoto J. Math. 56, no. 3 (2016), 575-598
Publication Year :: 2015
Abstract: This paper gives an explicit formula for the Ehrhart quasi-polynomial of certain 2-dimensional polyhedra in terms of invariants of surface quotient singularities. Also, a formula for the dimension of the space of quasi-homogeneous polynomials of a given degree is derived. This admits an interpretation as a Numerical Adjunction Formula for singular curves on the weighted projective plane.<br />Comment: 18 pages, 2 figures, 1 Table. To appear in Kyoto Journal Of Mathematics

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