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arXiv · 1506.01168

Numerical Adjunction Formulas for Weighted Projective Planes and Lattice Points Counting

J. I. Cogolludo-Agustin·J. Martin-Morales·J. Ortigas-Galindo
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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.

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J. I. Cogolludo-Agustin, J. Martin-Morales, J. Ortigas-Galindo. 2015-06-03. Numerical Adjunction Formulas for Weighted Projective Planes and Lattice Points Counting. https://doi.org/10.1215/21562261-3600184

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