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Given a convex polytope, we define its geometric spectrum, a stacky version of Batyrev's stringy E-functions, and we prove a stacky version of a formula of Libgober and Wood about the E-polynomial of a smooth projective variety.
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Batyrev, V.: Stringy Hodge numbers of varieties with Gorenstein canonical singularities
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Batyrev, V.: Stringy Hodge numbers and Virasoro algebra
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Dimca, A.: Monodromy and Hodge theory of regular functions
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Hertling, C.: Frobenius manifolds and variance of the spectral numbers
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Hertling, C.: Frobenius manifolds and moduli spaces for singularities
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Douai, A., Sabbah, C.: Gauss-Manin systems, Brieskorn lattices and Frobenius structures I
2003
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Douai, A., Sabbah, C.: Gauss-Manin systems, Brieskorn lattices and Frobenius structures II
2004
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Borisov, L., Chen, L., Smith, G.: The orbifold Chow ring of toric Deligne-Mumford stacks
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Mustaţă, M., Payne, S.: Ehrhart polynomials and stringy Betti numbers
2005
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Veys, W.: Arc spaces, motivic integration and stringy invariants
2006
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Beck, M. , Robbins, S.: Computing the continuous discretely
2007
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Stapledon, A.: Weighted Ehrhart Theory and Orbifold Cohomology
2008
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Cox, D., Little, J., Schenck, A.: Toric varieties
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Douai, A., Mann, E.: The small quantum cohomology of a weighted projective space, a mirror D-module and their classical limits
2013
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Douai, A.: Quantum differential systems and rational structures
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Sabbah, C.: Hypergeometric periods for a tame polynomial
2006
Cited alongside, same era.
Batyrev, V., Schaller, K.: Stringy Chern classes of singular toric varieties and their applications
Cited in the paper.
Douai, A.: Global spectra, polytopes and stacky invariants
Cited in the paper.
Hori, K., Vafa, C.: Mirror symmetry
Cited in the paper.
Reichelt, T., Sevenheck, C.: Logarithmic Frobenius manifolds, hypergeometric systems and quantum 𝒟 {\mathcal{D}} -modules
2015
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