Geodesic
Hard Lefschetz properties and distribution of spectra in singularity theory and Ehrhart theory
Journal of Singularities, Tome 23 (2021), pp. 116-126

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Motivated by the distribution of spectra in singularity theory and combinatorics, we study a hard Lefschetz property for Laurent polynomials and for polytopes and we give combinatorial criteria for this property to be true. We also discuss applications to a conjecture of Katzarkov-Kontsevich-Pantev.
DOI : 10.5427/jsing.2021.23g
Classification : 52B20, 32S40, 14J33 
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     author = {Antoine Douai},
     title = {Hard {Lefschetz} properties and distribution of spectra in singularity theory and {Ehrhart} theory},
     journal = {Journal of Singularities},
     pages = {116--126},
     publisher = {mathdoc},
     volume = {23},
     year = {2021},
     doi = {10.5427/jsing.2021.23g},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2021.23g/}
}
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Antoine Douai. Hard Lefschetz properties and distribution of spectra in singularity theory and Ehrhart theory. Journal of Singularities, Tome 23 (2021), pp. 116-126. doi: 10.5427/jsing.2021.23g

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