Set-theoretic defining equations of the variety of principal minors of symmetric matrices
نویسندگان
چکیده
منابع مشابه
Set Theoretic Defining Equations of the Variety of Principal Minors of Symmetric Matrices
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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ژورنال
عنوان ژورنال: Algebra & Number Theory
سال: 2011
ISSN: 1944-7833,1937-0652
DOI: 10.2140/ant.2011.5.75