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Mori extractions from singular curves in a smooth 3-fold
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Ducat, Thomas (2015) Mori extractions from singular curves in a smooth 3-fold. PhD thesis, University of Warwick.
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Official URL: http://webcat.warwick.ac.uk/record=b2842901~S1
Abstract
We study terminal 3-fold divisorial extractions σ: (E Y ) → (C X) which extract a prime divisor E from a singular curve C centred at a point P in a smooth 3-fold X. Given a presentation of the equations defining C, we give a method for calculating the graded ring of Y explicitly by serial unprojection. We compute some important examples and classify such extractions when the general hyperplane section SX containing C has a Du Val singularity at (P ∈ SX) of type A1, A2, D2k, E6, E7 or E8.
Item Type: | Thesis (PhD) | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Threefolds (Algebraic geometry), Curves, Algebraic | ||||
Official Date: | August 2015 | ||||
Dates: |
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Institution: | University of Warwick | ||||
Theses Department: | Mathematics Institute | ||||
Thesis Type: | PhD | ||||
Publication Status: | Unpublished | ||||
Supervisor(s)/Advisor: | Reid, Miles (Miles A.) | ||||
Extent: | vi, 111 leaves : illustrations, charts | ||||
Language: | eng |
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