Representability of Hilbert Schemes and Hilbert Stacks of Points

DOI10.1080/00927872.2010.488678zbMath1235.14007arXiv0802.3807OpenAlexW2075546891MaRDI QIDQ3092979

David Rydh

Publication date: 12 October 2011

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

Full work available at URL: https://arxiv.org/abs/0802.3807

zbMATH Keywords

Hilbert schemeWeil restrictionnon-separatedHilbert stackHom stack

Mathematics Subject Classification ID

Parametrization (Chow and Hilbert schemes) (14C05) Generalizations (algebraic spaces, stacks) (14A20)

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Gopakumar-Vafa invariants via vanishing cycles, On distributivity in higher algebra I: the universal property of bispans, Addendum to: ``Étale dévissage, descent and pushouts of stacks, The Hilbert stack, Noetherian approximation of algebraic spaces and stacks, Recovering the good component of the Hilbert scheme, Étale dévissage, descent and pushouts of stacks, On the crepant resolution conjecture for Donaldson-Thomas invariants, Coherent Tannaka duality and algebraicity of Hom-stacks, Existence and properties of geometric quotients, Stringy invariants and toric Artin stacks

Cites Work

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• An elementary, explicit, proof of the existence of Quot schemes of points
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• On proper coverings of Artin stacks
• Néron Models
• Quot Functors for Deligne-Mumford Stacks
• Complete moduli spaces of branchvarieties