A Borel open cover of the Hilbert scheme

DOI10.1016/j.jsc.2013.01.001zbMath1312.14011arXiv0909.2184OpenAlexW2028278830MaRDI QIDQ1946969

Paolo Lella, Cristina Bertone, Margherita Roggero

Publication date: 10 April 2013

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.2184

zbMATH Keywords

Hilbert schemeBorel-fixed idealmarked scheme

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Parametrization (Chow and Hilbert schemes) (14C05)

Related Items (16)

The close relation between border and Pommaret marked bases ⋮ On the functoriality of marked families ⋮ Quasi-stable ideals and Borel-fixed ideals with a given Hilbert polynomial ⋮ Shift modules, strongly stable ideals, and their dualities ⋮ Term-ordering free involutive bases ⋮ Combinatorial decompositions for monomial ideals ⋮ Double-generic initial ideal and Hilbert scheme ⋮ Bar code for monomial ideals ⋮ A general framework for Noetherian well ordered polynomial reductions ⋮ Macaulay-like marked bases ⋮ Flat families by strongly stable ideals and a generalization of Gröbner bases ⋮ Toward involutive bases over effective rings ⋮ Computing quot schemes via marked bases over quasi-stable modules ⋮ Grothendieck–Plücker Images of Hilbert Schemes are Degenerate ⋮ Strongly stable ideals and Hilbert polynomials ⋮ The Locus of Points of the Hilbert Scheme with Bounded Regularity

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