Use this URL to cite or link to this record in EThOS: | https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.254415 |
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Title: | Plurigenera of 3-folds and weighted hypersurfaces | ||||||
Author: | Fletcher, Anthony Robert |
ISNI:
0000 0001 3469 2891
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Awarding Body: | University of Warwick | ||||||
Current Institution: | University of Warwick | ||||||
Date of Award: | 1988 | ||||||
Availability of Full Text: |
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Abstract: | |||||||
Chapter I gives basic results and definitions for nonsingular varieties, normal varieties and canonical singularities. In Chapter II we give alternative forms of the Riemann-Roch formula for projective 3-folds with at worst canonical singularities. We show for a canonical 3-fold X with x(Ox) « 1 that Pl2(X) > 1. Pu(X) > 2 and K3x > (1⁄160)3. The last section of Chapter II shows that the record of pluridata representing a canonical 3-fold is unique. In Chapter III we find necessary and sufficient conditions for weighted complete intersections of codimensions 1 and 2 to be quasismooth. We also give conditions for quasismooth surface and 3-fold intersections of codimension 1 and 2 to have at worst only isolated canonical singularities. We produce lists of such complete intersections in two different ways: one using these conditions for quasismoothness and having only isolated canonical singularities and the second deducing the degrees of the generators and relations from the plurigenera via the Poincaré series of the canonical ring.
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Supervisor: | Not available | Sponsor: | Science and Engineering Research Council | ||||
Qualification Name: | Thesis (Ph.D.) | Qualification Level: | Doctoral | ||||
EThOS ID: | uk.bl.ethos.254415 | DOI: | Not available | ||||
Keywords: | QA Mathematics | ||||||
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