7 papers
Lifting Frobenius splittings through geometric vertex decomposition
Emanuela De Negri, Elisa Gorla, Patricia Klein +2
Frobenius splitting, pioneered by Hochster and Roberts in the 1970s and Mehta and Ramanathan in the 1980s, is a technique in characteristic commutative algebra and algebraic ge…
Polarization and Gorenstein liaison
Sara Faridi, Patricia Klein, Jenna Rajchgot +1
A major open question in the theory of Gorenstein liaison is whether or not every arithmetically Cohen--Macaulay subscheme of can be G-linked to a complete intersect…
Geometric vertex decomposition and liaison for toric ideals of graphs
Mike Cummings, Sergio Da Silva, Jenna Rajchgot +1
The geometric vertex decomposability property for polynomial ideals is an ideal-theoretic generalization of the vertex decomposability property for simplicial complexes. Indeed, a…
Multicomplex Configurations: a case study in Gorenstein Liaison
Patricia Klein, Jenna Rajchgot, Alexandra Seceleanu
We introduce and investigate multicomplex configurations, a class of projective varieties constructed via specialization of the polarizations of Artinian monomial ideals. Building…
Combinatorial proofs of the type A quiver component formulas
Aidan Lindberg, Jenna Rajchgot
The K-theoretic quiver component formula expresses the K-polynomial of a type A quiver locus as an alternating sum of products of double Grothendieck polynomials. This formula was…
A note on toric ideals of graphs and Knutson-Miller-Yong decompositions
Sergio Da Silva, Emma Naguit, Jenna Rajchgot
We use a Gröbner basis technique first introduced by Knutson, Miller and Yong to study the interplay between properties of a graph and algebraic properties of the toric ideal…