Hard Lefschetz properties and distribution of spectra in singularity theory and Ehrhart theory
Antoine Douai
Journal of Singularities
volume 23 (2021), 116-126
Received: 1 June 2021. Received in revised form: 12 July 2021.
Add a reference to this article to your citeulike library.
Abstract:
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.
2010 Mathematical Subject Classification:
52B20, 32S40, 14J33
Key words and phrases:
toric varieties, hard Lefschetz properties, spectrum of regular functions and polytopes, mirror theorem, orbifold cohomology, distribution of spectral numbers
Author(s) information:
Antoine Douai
Université Côte d'Azur
CNRS, LJAD
FRANCE
email: antoine.douai@univ-cotedazur.fr
Copyright © 2021 Worldwide Center of Mathematics LLC, All Rights Reserved ®