The singularities of the principal component of the Hilbert scheme of points

DOI10.1016/j.jalgebra.2010.07.001zbMath1206.14015arXiv0805.3672OpenAlexW2060482222MaRDI QIDQ615826

Kyungyong Lee

Publication date: 7 January 2011

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0805.3672

zbMATH Keywords

Cohen-Macaulay ringsLittlewood-Richardson ruleHilbert schemesideal projectors

Mathematics Subject Classification ID

Parametrization (Chow and Hilbert schemes) (14C05) Cohen-Macaulay modules (13C14)

Uses Software

• Macaulay2

Cites Work

• An elementary construction of the multigraded Hilbert scheme of points
• An elementary, explicit, proof of the existence of Hilbert schemes of points
• Bivariate ideal projectors and their perturbations
• On the limits of Lagrange projectors
• Hilbert schemes of 8 points
• \(t,q\)-Catalan numbers and the Hilbert scheme.
• Recovering the good component of the Hilbert scheme
• Murphy's law in algebraic geometry: Badly-behaved deformation spaces
• Hilbert schemes, polygraphs and the Macdonald positivity conjecture
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