Use this URL to cite or link to this record in EThOS: http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.667664
Title: Mori extractions from singular curves in a smooth 3-fold
Author: Ducat, Thomas
ISNI:       0000 0004 5362 0502
Awarding Body: University of Warwick
Current Institution: University of Warwick
Date of Award: 2015
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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.
Supervisor: Not available Sponsor: Engineering and Physical Sciences Research Council
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID: uk.bl.ethos.667664  DOI: Not available
Keywords: QA Mathematics
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