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Article Dans Une Revue Journal of Singularities Année : 2021

Hard Lefschetz properties and distribution of spectra in singularity theory and Ehrhart theory

Antoine Douai

Résumé

We discuss the distribution of the spectrum at infinity of a convenient and nondegenerate Laurent polynomial (singularity side) and the distribution of the Newton spectrum of a polytope (Ehrhart theory side). To this end, we study a hard Lefschetz property for Laurent polynomials and for polytopes and we give combinatorial criteria for this property to be true. This provides informations about a conjecture by Katzarkov-Kontsevitch-Pantev.

Dates et versions

hal-02317754 , version 1 (16-10-2019)

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Antoine Douai. Hard Lefschetz properties and distribution of spectra in singularity theory and Ehrhart theory. Journal of Singularities, 2021, 23, pp.116-126. ⟨10.5427/jsing.2021.23g⟩. ⟨hal-02317754⟩
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