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math.AC2022
Ideals of submaximal minors of sparse symmetric matrices
Jiahe Deng, Andreas Kretschmer
We study algebraic and homological properties of the ideal of submaximal minors of a sparse generic symmetric matrix. This ideal is generated by all -minors of a symmetric $…
math.AC2021
When are symmetric ideals monomial?
Andreas Kretschmer
We study conditions on polynomials such that the ideal generated by their orbits under the symmetric group action becomes a monomial ideal or has a monomial radical. If the polynom…