9 citations · 22 across the 18 of their papers we have counts for
21 papers
A Riemann-Roch theorem for Frobenius quotients
Matthew Dupraz, Andreas Gross, Leonid Monin
We construct two families of commutative Frobenius rings: discrete and continuous Frobenius quotients , resp. , which are defined as the quotients of shift, resp. differe…
Polyhedral models for K-theory of toric and flag varieties
Leonid Monin, Evgeny Smirnov
In 1992, Pukhlikov and Khovanskii provided a description of the cohomology ring of toric variety as a quotient of the ring of differential operators on spaces of virtual polytopes.…
Vertex Posets, Monotone Path Polytopes, and Chow Polynomials
Mateusz Michałek, Leonid Monin, Botong Wang
Let be a convex polytope and let be a linear functional which is nonconstant on every edge of . The induced acyclic orientation determines positive…
The algebraic degree of sparse polynomial optimization
Julia Lindberg, Leonid Monin, Kemal Rose
We study a broad class of polynomial optimization problems whose constraints and objective functions exhibit sparsity patterns. We give two characterizations of the number of criti…
A polyhedral homotopy algorithm for computing critical points of polynomial programs
Julia Lindberg, Leonid Monin, Kemal Rose
In this paper we propose a method that uses Lagrange multipliers and numerical algebraic geometry to find all critical points, and therefore globally solve, polynomial optimization…
Faces of Cosmological Polytopes
Lukas Kühne, Leonid Monin
A cosmological polytope is a lattice polytope introduced by Arkani-Hamed, Benincasa, and Postnikov in their study of the wavefunction of the universe in a class of cosmological mod…