Abstract
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.
Citation
José Ignacio Cogolludo-Agustín. Jorge Martín-Morales. Jorge Ortigas-Galindo. "Numerical adjunction formulas for weighted projective planes and lattice point counting." Kyoto J. Math. 56 (3) 575 - 598, September 2016. https://doi.org/10.1215/21562261-3600184
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