Rational components of Hilbert schemes
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Publication:661347
DOI10.4171/RSMUP/126-2zbMath1236.14006arXiv0903.1029MaRDI QIDQ661347
Margherita Roggero, Paolo Lella
Publication date: 10 February 2012
Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0903.1029
Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Parametrization (Chow and Hilbert schemes) (14C05)
Related Items (18)
The close relation between border and Pommaret marked bases ⋮ On the functoriality of marked families ⋮ Smoothable Gorenstein Points Via Marked Schemes and Double-generic Initial Ideals ⋮ The Gröbner fan of the Hilbert scheme ⋮ The scheme of liftings and applications ⋮ On almost revlex ideals with Hilbert function of complete intersections ⋮ Cotangent spaces and separating re-embeddings ⋮ Functors of liftings of projective schemes ⋮ Gröbner strata in the Hilbert scheme of points ⋮ The ubiquity of smooth Hilbert schemes ⋮ Segments and Hilbert schemes of points ⋮ On the smoothness of lexicographic points on Hilbert schemes ⋮ Double-generic initial ideal and Hilbert scheme ⋮ A general framework for Noetherian well ordered polynomial reductions ⋮ Macaulay-like marked bases ⋮ VSPs of cubic fourfolds and the Gorenstein locus of the Hilbert scheme of 14 points on \(\mathbb{A}^6\) ⋮ Elementary components of Hilbert schemes of points ⋮ Strongly stable ideals and Hilbert polynomials
Cites Work
- Linear free resolutions and minimal multiplicity
- On border basis and Gröbner basis schemes
- D'autres composantes non réduites de Hilb\({\mathbb{P}}^ 3\). (Other non reduced components of Hilb\({\mathbb{P}}^ 3\))
- Gröbner bases and Hilbert schemes. I
- Unimodular Hermitian and skew-Hermitian forms
- Some properties of Borel ideals
- A stratification of Hilbert schemes by initial ideals and applications
- On an extension of Galligo's theorem concerning the Borel-fixed points on the Hilbert scheme
- Reducibility of the families of O-dimensional schemes on a variety
- Ideals with an assigned initial ideal
- Deformations of Algebraic Schemes
- Homogeneous varieties for Hilbert schemes
- Punctual Hilbert schemes
- Multigraded Hilbert schemes
- Further Pathologies in Algebraic Geometry
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