7 papers
Powers of binary forms and derived Hermite reciprocity
Claudiu Raicu, Steven V Sam, Jerzy Weyman +1
For , Hilbert found in 1886 a collection of polynomial equations that cut out set-theoretically the variety X parametrizing a-th powers of binary forms of degree b. We d…
Stable sheaf cohomology on flag varieties
Claudiu Raicu, Keller VandeBogert
We prove an effective stabilization result for the sheaf cohomology groups of line bundles on flag varieties parametrizing complete flags in k^n, as well as for the sheaf cohomolog…
Diagonal F-thresholds for determinants and Pfaffians
Barbara Betti, Claudiu Raicu, Francesco Romeo +1
We compute the diagonal F-thresholds of determinantal hypersurfaces arising from a generic matrix and from a generic symmetric matrix, as well as of the Pfaffian hypersurface arisi…
The effective Chen ranks conjecture
Marian Aprodu, Gavril Farkas, Claudiu Raicu +1
Koszul modules and their associated resonance schemes are objects appearing in a variety of contexts in algebraic geometry, topology, and combinatorics. We present a proof of an ef…
Stable sheaf cohomology and Koszul--Ringel duality
Claudiu Raicu, Keller VandeBogert
We identify a close relationship between stable sheaf cohomology for polynomial functors applied to the cotangent bundle on projective space, and Koszul--Ringel duality on the cate…
Computing the cohomology of line bundles on the incidence correspondence and related invariants
Annet Kyomuhangi, Emanuela Marangone, Claudiu Raicu +1
We describe the package "IncidenceCorrespondenceCohomology" for the computer algebra system Macaulay2. The main feature concerns the computation of characters and dimensions for th…