11 citations · 19 across the 8 of their papers we have counts for
20 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…
On the Schmidt and analytic ranks for trilinear forms
Karim Adiprasito, David Kazhdan, Tamar Ziegler
We discuss relations between different notions of ranks for multilinear forms. In particular we show that the Schmidt and the analytic ranks for trilinear forms are essentially pro…
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…
A complete characterization of -pairs of 6-polytopes
Karim Adiprasito, Rémi Cocou Avohou
We completely characterize the first two entries, namely the -vector pairs, for -dimension polytopes. We also find the characterization for -dimension polytopes w…
The Partition Complex: an invitation to combinatorial commutative algebra
Karim Adiprasito, Geva Yashfe
We provide a new foundation for combinatorial commutative algebra and Stanley-Reisner theory using the partition complex introduced in [Adi18]. One of the main advantages is that i…
On the realization space of the cube
Karim Adiprasito, Daniel Kalmanovich, Eran Nevo
We consider the realization space of the -dimensional cube, and show that any two realizations are connected by a finite sequence of projective transformations and normal transf…