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ABSTRACT In this paper, we study properties of the Hilbert schemes of ideals of finite algebras over an algebraically closed field. We prove a duality theorem for the Hilbert schemes… Click to show full abstract
ABSTRACT In this paper, we study properties of the Hilbert schemes of ideals of finite algebras over an algebraically closed field. We prove a duality theorem for the Hilbert schemes of a finite Gorenstein algebra. We also study some properties of finite algebras obtained from informations on their Hilbert schemes. We give examples of finite algebras A such that the sequences are unimodal. They are examples of a generalization of a combinatorial conjecture by Stanton.
Keywords:
closed field;
algebras algebraically;
hilbert schemes;
algebraically closed;
schemes finite;
finite algebras
Journal Title: Communications in Algebra
Year Published: 2018
Link to full text (if available)
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Journal Title: Communications in Algebra
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!