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math.DG2026
Ehrhart theorem for integral-integral affine manifolds with corners
Oded Elisha
We study lattice-counting functions on compact integral-integral affine manifolds with corners, which generalize integral unimodular polytopes. We prove analogues of Ehrhart's theo…
math.DG2025
Integral Points and Volume of Integral-Integral Affine Manifolds
Oded Elisha, Yael Karshon, Yiannis Loizides
Using rational Ehrhart theory and Fourier analysis, we give an elementary proof that the volume of a closed manifold equipped with an integral-integral affine structure equals the…