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Formal-local structure of the Hilbert scheme of points on three-dimensional complex affine space around special monomial ideals Hsu, Ting Chen Leo
Abstract
We show that the formal completion of the Hilbert scheme of points in ℂ³ at subschemes carved out by powers of the maximal ideal corresponding to the origin is given as the critical locus of a homogeneous cubic function. In particular, the Hilbert scheme is formal-locally a cone around these distinguished points.
Item Metadata
| Title |
Formal-local structure of the Hilbert scheme of points on three-dimensional complex affine space around special monomial ideals
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| Creator | |
| Publisher |
University of British Columbia
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| Date Issued |
2016
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| Description |
We show that the formal completion of the Hilbert scheme of points in ℂ³ at subschemes carved out by powers of the maximal ideal corresponding to the origin is given as the critical locus of a homogeneous cubic function. In particular, the Hilbert scheme is formal-locally a cone around these distinguished points.
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| Genre | |
| Type | |
| Language |
eng
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| Date Available |
2016-04-26
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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| DOI |
10.14288/1.0300221
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| URI | |
| Degree | |
| Program | |
| Affiliation | |
| Degree Grantor |
University of British Columbia
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| Graduation Date |
2016-05
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| Campus | |
| Scholarly Level |
Graduate
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| Rights URI | |
| Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International