From the 1 of 4 linked papers with an AI index.
4 papers
Derangement permutation matrices and orbit harmonics
Yupeng Li, Jasper Liu, Brendon Rhoades
The paper investigates the algebraic and representation-theoretic properties of the set of derangement permutation matrices via the orbit harmonics quotient ring, giving explicit g…
Shellability of the quotient order on lattice path matroids
Carolina Benedetti, Anton Dochtermann, Kolja Knauer +1
The concept of a matroid quotient has connections to fundamental questions in the geometry of flag varieties. In previous work, Benedetti and Knauer characterized quotients in the…
Log-concavity of polynomials arising from equivariant cohomology
Yairon Cid-Ruiz, Yupeng Li, Jacob P. Matherne
We study the equivariant cohomology classes of torus-equivariant subvarieties of the space of matrices. For a large class of torus actions, we prove that the polynomials representi…
Minimal resolutions of lattice ideals
Yupeng Li, Ezra Miller, Erika Ordog
A canonical minimal free resolution of an arbitrary co-artinian lattice ideal over the polynomial ring is constructed over any field whose characteristic is 0 or any but finitely m…