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UBC Theses and Dissertations
The behavior of the Hilbert scheme of points under the derived McKay correspondence Mohyedin Kermani, Ehsan
Abstract
In this thesis, we completely determine the image of structure sheaves of zero-dimensional, torus invariant, closed subschemes on the minimal, crepant resolution Y of the Kleinian quotient singularity C²/Z/n under the Fourier-Mukai equivalence of categories, between derived category of coherent sheaves on Y and Z/n-equivariant derived category of coherent sheaves on C². As a consequence, we obtain a combinatorial correspondence between partitions and Z/n-colored skew partitions.
Item Metadata
| Title |
The behavior of the Hilbert scheme of points under the derived McKay correspondence
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| Creator | |
| Publisher |
University of British Columbia
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| Date Issued |
2013
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| Description |
In this thesis, we completely determine the image of structure sheaves of zero-dimensional, torus invariant, closed subschemes on the minimal, crepant resolution Y of the Kleinian quotient singularity C²/Z/n under the Fourier-Mukai equivalence of categories, between derived category of coherent sheaves on Y and Z/n-equivariant derived category of coherent sheaves on C². As a consequence, we obtain a combinatorial correspondence between partitions and Z/n-colored skew partitions.
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| Genre | |
| Type | |
| Language |
eng
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| Date Available |
2013-09-09
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
Attribution-NonCommercial-ShareAlike 2.5 Canada
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| DOI |
10.14288/1.0074268
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| URI | |
| Degree | |
| Program | |
| Affiliation | |
| Degree Grantor |
University of British Columbia
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| Graduation Date |
2013-11
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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-ShareAlike 2.5 Canada