102 citations · 235 across the 20 of their papers we have counts for
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Syzygies of Unimodular Lawrence Ideals
Dave Bayer, Sorin Popescu, Bernd Sturmfels
Infinite hyperplane arrangements whose vertices form a lattice are studied from the point of view of commutative algebra. The quotient of such an arrangement modulo the lattice act…
Rational Hypergeometric Functions
Eduardo Cattani, Alicia Dickenstein, Bernd Sturmfels
Multivariate hypergeometric functions associated with toric varieties were introduced by Gel'fand, Kapranov and Zelevinsky. Singularities of such functions are discriminants, that…
A sagbi basis for the quantum Grassmannian
Frank Sottile, Bernd Sturmfels
The maximal minors of a p by (m + p) matrix of univariate polynomials of degree n with indeterminate coefficients are themselves polynomials of degree np. The subalgebra generated…