64 citations · 178 across the 18 of their papers we have counts for
8 papers · 1 filter
Signed permutohedra, delta-matroids, and beyond
Christopher Eur, Alex Fink, Matt Larson +1
We establish a connection between the algebraic geometry of the type B permutohedral toric variety and the combinatorics of delta-matroids. Using this connection, we compute the vo…
Matroids and the space of torus-invariant subvarieties of the Grassmannian with given homology class
E. Javier Elizondo, Alex Fink, Cristhian Garay López
Let be the complex Grassmannian of affine -planes in -space. We study the problem of characterizing the set of algebraic subvarieties of i…
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…
Equivariant K-theory classes of matrix orbit closures
Andrew Berget, Alex Fink
The group acts on , the space of -by- matrices: acts by row operations and scales columns.…
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…
Equivariant Chow classes of matrix orbit closures
Andrew Berget, Alex Fink
Let be the product . We show that the -equivariant Chow class of a orbit closure in the space of -by- matrices is determined by a matr…