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Title: Topics in orbifold geometry and Gorenstein homogeneous spaces
Author: Hayat, Umar
ISNI:       0000 0004 2739 7837
Awarding Body: University of Warwick
Current Institution: University of Warwick
Date of Award: 2011
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I study two problems from different domains. The first problem is related to orbifold geometry and the second to Gorenstein homogeneous spaces. Though two different topics, they share a common theme: the Gorenstein property. The first half of the thesis is related to the McKay correspondence. In particular we study a relation between the McKay correspondence in dimensions two and three. The primary purpose is to prove a theorem that generalises a conjecture given by Barth, proved by Boissiere and Sarti. The second half of the thesis is mainly about Gorenstein homogeneous spaces. We prove a theorem that gives a necessary and sufficient condition for the canonical divisor to vanish on a quasi-homogeneous affine algebraic variety.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: QA Mathematics