From the 1 of 3 linked papers with an AI index.
3 papers
math.AG2026
A Riemann-Roch theorem for Frobenius quotients
Matthew Dupraz, Andreas Gross, Leonid Monin
The paper builds commutative Frobenius rings from shift and differential operator algebras to model K‑theory and Chow rings of smooth complete varieties, establishing combinatorial…
math.AG2026
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.…
math.CO2026
Vertex Posets, Monotone Path Polytopes, and Chow Polynomials
Mateusz MichaÅek, 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…