Set Theoretic Defining Equations of the Variety of Principal Minors of Symmetric Matrices
نویسنده
چکیده
The variety of principal minors of n× n symmetric matrices, denoted Zn, is invariant under the action of a group G ⊂ GL(2) isomorphic to (SL(2)) ×Sn. We describe an irreducible G-module of degree 4 polynomials that cuts out Zn set theoretically. This solves the set-theoretic version of a conjecture of Holtz and Sturmfels.
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