The Library
Abelian orbifolds in dimension four and crepant resolutions via G-Hilbert schemes
Tools
Muhvić, Sara (2018) Abelian orbifolds in dimension four and crepant resolutions via G-Hilbert schemes. PhD thesis, University of Warwick.
|
PDF
WRAP_Theses_Muhvic_2018.pdf - Submitted Version - Requires a PDF viewer. Download (2340Kb) | Preview |
Official URL: http://webcat.warwick.ac.uk/record=b3216611~S15
Abstract
We study the quotient X=C^4/G, where the group G ≅(Z/r)⊕3 ⊂ SL (4;ℂ) acts by 1/r (1, -1, 0, 0) ⊕ 1/r (1, 0, -1, 0) ⊕ (1, 0, 0, -1). The affine quotient X=C^4/G is a Gorenstein hypersurface singularity (x_1 x_2 x_3 x_4=y^r). In this thesis, we give an explicit description of the G-Hilbert scheme G-HilbC^4 through its toric fan. We show that it is an irreducible toric variety that is a discrepant resolution of singularities of X. Furthermore, we construct a certain class of crepant resolutions of X, called the special crepant resolutions, that are obtained from the G-HilbC^4by a series of contractions of curves.
Item Type: | Thesis (PhD) | ||||
---|---|---|---|---|---|
Subjects: | Q Science > QA Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Orbifolds, Hilbert schemes, Singularities (Mathematics), Four-manifolds (Topology) | ||||
Official Date: | May 2018 | ||||
Dates: |
|
||||
Institution: | University of Warwick | ||||
Theses Department: | Mathematics Institute | ||||
Thesis Type: | PhD | ||||
Publication Status: | Unpublished | ||||
Supervisor(s)/Advisor: | Reid, Miles (Miles A.) | ||||
Format of File: | |||||
Extent: | v, 116 leaves : illustrations | ||||
Language: | eng |
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |
Downloads
Downloads per month over past year