7 citations · 10 across the 3 of their papers we have counts for
4 papers
Beyond positivity in Ehrhart Theory
Karim Alexander Adiprasito, Stavros Argyrios Papadakis, Vasiliki Petrotou +1
We study semigroup algebras arising from lattice polytopes, compute their volume polynomials (particularizing work of Hochster), and establish strong Lefschetz properties (generali…
Anisotropy, biased pairings, and the Lefschetz property for pseudomanifolds and cycles
Karim Adiprasito, Stavros Argyrios Papadakis, Vasiliki Petrotou
We prove the hard Lefschetz property for pseudomanifolds and cycles in any characteristic with respect to an appropriate Artinian reduction. The proof is a combination of Adiprasit…
The characteristic 2 anisotropicity of simplicial spheres
Stavros Argyrios Papadakis, Vasiliki Petrotou
Assume D is a simplicial sphere, and k_1 is a field. We say that D is generically anisotropic over k_1 if, for a certain purely transcendental field extension k of k_1, a certain A…
Tom & Jerry triples with an application to Fano 3-folds
Vasiliki Petrotou
Unprojection is a theory due to Reid which constructs more complicated rings starting from simpler data. The idea of unprojection is intended for serial use. Papadakis and Neves de…