7 papers · 1 filter
Castelnuovo-Mumford regularity of skew-symmetric matrix Schubert varieties
Jack Chen-An Chou
Skew-symmetric matrix Schubert varieties are determinantal varieties obtained by intersecting matrix Schubert varieties with the space of skew-symmetric matrices. They are closely…
Coxeter and Schubert combinatorics of -Involutions
Jack Chen-An Chou, Zachary Hamaker
The variety of complete quadrics is the wonderful compactification of and admits a cell decomposition into Borel orbits indexed by combinatorial objects called -invol…
A positive combinatorial formula for the double Edelman--Greene coefficients
Jack Chen-An Chou, Tianyi Yu
Lam, Lee, and Shimozono introduced the double Stanley symmetric functions in their study of the equivariant geometry of the affine Grassmannian. They proved that the associated dou…
Asymptotically maximal Schubitopes
Jack Chen-An Chou, Linus Setiabrata
We find a layered permutation whose Schubert polynomial has support of size asymptotically at least . This gives precise asympto…
Newton polytopes of fireworks Grothendieck polynomials
Jack Chen-An Chou, Linus Setiabrata
We show that the support of the Grothendieck polynomial of any fireworks permutation is as large as possible: a monomial appears in if and only if i…
Grothendieck polynomials of inverse fireworks permutations
Chen-An Chou, Tianyi Yu
Pipedreams are combinatorial objects that compute Grothendieck polynomials. We introduce a new combinatorial object that naturally recast the pipedream formula. From this, we obtai…
Constructing maximal pipedreams of double Grothendieck polynomials
Chen-An Chou, Tianyi Yu
Pechenik, Speyer and Weigandt defined a statistic on permutations which characterizes the leading monomial in top degree components of double Grothendieck…