AbstractThe image of the principal minor map for n×n-matrices is shown to be closed. In the 19th century, Nanson and Muir studied the implicitization problem of finding all relations among principal minors when n=4. We complete their partial results by constructing explicit polynomials of degree 12 that scheme-theoretically define this affine variety and also its projective closure in P15. The latter is the main component in the singular locus of the 2×2×2×2-hyperdeterminant
The question is raised whether the sum of the k-by-k principal minors of the titled matrix is a poly...
The question is raised whether the sum of the k-by-k principal minors of the titled matrix is a poly...
Given integers a_0 <= a_1 <= ... <= a_{t+c-2} and b_1 <= ... <= b_t, we denote by W(b;a) \subset Hil...
AbstractThe principal minors of a symmetric n×n-matrix form a vector of length 2n. We characterize t...
The algebraic relations between the principal minors of an n × n matrix are some-what mysterious, se...
Thesis (Ph.D.)--University of Washington, 2022Research in algebraic geometry has interfaces with oth...
AbstractResults on ω- and τ-matrices are surveyed. The question whether an ω-matrix with positive le...
We prove the case t = 2 of a conjecture of Bruns–Conca– Varbaro, describing the minimal relations be...
We prove the case t = 2 of a conjecture of Bruns–Conca– Varbaro, describing the minimal relations be...
AbstractThe principal minors of a symmetric n×n-matrix form a vector of length 2n. We characterize t...
We prove the case t = 2 of a conjecture of Bruns–Conca– Varbaro, describing the minimal relations be...
AbstractThe question is raised whether the sum of the k×k principal minors of the titled matrix is a...
We prove the case t = 2 of a conjecture of Bruns–Conca– Varbaro, describing the minimal relations be...
We prove the case t = 2 of a conjecture of Bruns–Conca– Varbaro, describing the minimal relations be...
Abstract. We consider the affine variety Zm,n2,2 of first order jets over Zm,n2, where Zm,n2 is the ...
The question is raised whether the sum of the k-by-k principal minors of the titled matrix is a poly...
The question is raised whether the sum of the k-by-k principal minors of the titled matrix is a poly...
Given integers a_0 <= a_1 <= ... <= a_{t+c-2} and b_1 <= ... <= b_t, we denote by W(b;a) \subset Hil...
AbstractThe principal minors of a symmetric n×n-matrix form a vector of length 2n. We characterize t...
The algebraic relations between the principal minors of an n × n matrix are some-what mysterious, se...
Thesis (Ph.D.)--University of Washington, 2022Research in algebraic geometry has interfaces with oth...
AbstractResults on ω- and τ-matrices are surveyed. The question whether an ω-matrix with positive le...
We prove the case t = 2 of a conjecture of Bruns–Conca– Varbaro, describing the minimal relations be...
We prove the case t = 2 of a conjecture of Bruns–Conca– Varbaro, describing the minimal relations be...
AbstractThe principal minors of a symmetric n×n-matrix form a vector of length 2n. We characterize t...
We prove the case t = 2 of a conjecture of Bruns–Conca– Varbaro, describing the minimal relations be...
AbstractThe question is raised whether the sum of the k×k principal minors of the titled matrix is a...
We prove the case t = 2 of a conjecture of Bruns–Conca– Varbaro, describing the minimal relations be...
We prove the case t = 2 of a conjecture of Bruns–Conca– Varbaro, describing the minimal relations be...
Abstract. We consider the affine variety Zm,n2,2 of first order jets over Zm,n2, where Zm,n2 is the ...
The question is raised whether the sum of the k-by-k principal minors of the titled matrix is a poly...
The question is raised whether the sum of the k-by-k principal minors of the titled matrix is a poly...
Given integers a_0 <= a_1 <= ... <= a_{t+c-2} and b_1 <= ... <= b_t, we denote by W(b;a) \subset Hil...
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