Ideals of submaximal minors of sparse symmetric matrices
DOI10.1016/j.jpaa.2023.107595arXiv2211.07020MaRDI QIDQ6199061
Jiahe Deng, Andreas Kretschmer
Publication date: 23 February 2024
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2211.07020
pruningminimal free resolutiondeterminantal varietydeterminantal idealgeneric symmetric matrixcoordinate section
Linkage, complete intersections and determinantal ideals (13C40) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Syzygies, resolutions, complexes and commutative rings (13D02)
Cites Work
- Lectures on algebraic statistics
- Ideals generated by minors of a symmetric matrix
- Gröbner bases of ideals of minors of a symmetric matrix
- Lovász-Saks-Schrijver ideals and coordinate sections of determinantal varieties
- Cartwright-Sturmfels ideals associated to graphs and linear spaces
- Free resolutions and sparse determinantal ideals
- Radical generic initial ideals
- Betti numbers of determinantal ideals
- Multivariate Gaussians, semidefinite matrix completion, and convex algebraic geometry
- Determinantal ideals
- Covariance decomposition in undirected Gaussian graphical models
- Linear Sections of Determinantal Varieties
- Monomial Ideals
- Universal Gröbner Bases and Cartwright–Sturmfels Ideals
- Universal Grobner Bases for Maximal Minors
- The geometry of Gaussian double Markovian distributions
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