Grothendieck–Plücker Images of Hilbert Schemes are Degenerate

DOI10.1017/S0013091518000421zbMath1420.14010arXiv1703.02703OpenAlexW2963242901MaRDI QIDQ5228201

Donghoon Hyeon, Hyungju Park

Publication date: 9 August 2019

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.02703

zbMATH Keywords

generic initial idealsSchubert cells in Grassmann variety

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Parametrization (Chow and Hilbert schemes) (14C05)

Cites Work

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• A criterion for detecting m-regularity
• Ideals generated by reverse lexicographic segments
• A theorem on refining division orders by the reverse lexicographic order
• Standard bases and geometric invariant theory. I: Initial ideals and state polytopes
• Eine Bedingung für die Flachheit und das Hilbertpolynom eines graduierten Ringes
• Some properties of Borel ideals
• A stratification of Hilbert schemes by initial ideals and applications
• Power sums, Gorenstein algebras, and determinantal loci. With an appendix `The Gotzmann theorems and the Hilbert scheme' by Anthony Iarrobino and Steven L. Kleiman
• A Borel open cover of the Hilbert scheme
• Generic initial ideals of points and curves
• On an extension of Galligo's theorem concerning the Borel-fixed points on the Hilbert scheme
• Connectedness of Hilbert scheme
• Ideals with an assigned initial ideal
• Lectures on the Geometry of Flag Varieties

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