32 citations · 122 across the 43 of their papers we have counts for
4 papers · 1 filter
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…
Unstable blueprints can be shared
Karim Adiprasito
This expository note illustrates toric perturbation and biased pairing theory to show that Artinian reductions of face rings of -spheres that do not satisfy the Lefschetz proper…
FAQ on the g-theorem and the hard Lefschetz theorem for face rings
Karim Adiprasito
This short review is the result of a minicourse at the Sapienza University of Rome the author gave about the proof of the -theorem. We review the hard Lefschetz theorem for simp…
The Hard Lefschetz Theorem for PL spheres
Karim Adiprasito, Johanna K. Steinmeyer
We provide a simpler proof of the hard Lefschetz Theorem for face rings of PL spheres: While the algebraic theory remains the same, we replace the geometric constructions by Pachne…