13 citations · 58 across the 23 of their papers we have counts for
9 papers · 1 filter
Equivariant geometry of symmetric quiver orbit closures
Ryan Kinser, Martina Lanini, Jenna Rajchgot
We unify problems about the equivariant geometry of symmetric quiver representation varieties, in the finite type setting, with the corresponding problems for symmetric varieties $…
Gröbner geometry for regular nilpotent Hessenberg Schubert cells
Mike Cummings, Sergio Da Silva, Megumi Harada +1
A regular nilpotent Hessenberg Schubert cell is the intersection of a regular nilpotent Hessenberg variety with a Schubert cell. In this paper, we describe a set of minimal generat…
Toric and tropical Bertini theorems in positive characteristic
Francesca Gandini, Milena Hering, Diane Maclagan +4
We generalize the toric Bertini theorem of Fuchs, Mantova, and Zannier to positive characteristic. A key part of the proof is a new algebraically closed field containing the field…
Gröbner bases, symmetric matrices, and type C Kazhdan-Lusztig varieties
Laura Escobar, Alex Fink, Jenna Rajchgot +1
We study a class of combinatorially-defined polynomial ideals which are generated by minors of a generic symmetric matrix. Included within this class are the symmetric determinanta…
Type D quiver representation varieties, double Grassmannians, and symmetric varieties
Ryan Kinser, Jenna Rajchgot
We unify aspects of the equivariant geometry of type quiver representation varieties, double Grassmannians, and symmetric varieties ; in particular w…
Matrix Schubert varieties and Gaussian conditional independence models
Alex Fink, Jenna Rajchgot, Seth Sullivant
Matrix Schubert varieties are certain varieties in the affine space of square matrices which are determined by specifying rank conditions on submatrices. We study these varieties f…
Three combinatorial formulas for type A quiver polynomials and K-polynomials
Ryan Kinser, Allen Knutson, Jenna Rajchgot
We provide combinatorial formulas for the multidegree and K-polynomial of an arbitrarily oriented type A quiver locus. These formulas are generalizations of three of Knutson-Miller…
Type A quiver loci and Schubert varieties
Ryan Kinser, Jenna Rajchgot
We describe a closed immersion from each representation space of a type A quiver with bipartite (i.e., alternating) orientation to a certain opposite Schubert cell of a partial fla…
Compatibly split subvarieties of the Hilbert scheme of points in the plane
Jenna Rajchgot
Let k be an algebraically closed field of characteristic p>2. By a result of Kumar and Thomsen, the standard Frobenius splitting of the affine plane induces a Frobenius splitting o…