Use this URL to cite or link to this record in EThOS: http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.570571
Title: Topics in orbifold geometry and Gorenstein homogeneous spaces
Author: Hayat, Umar
Awarding Body: University of Warwick
Current Institution: University of Warwick
Date of Award: 2011
Availability of Full Text:
Access through EThOS:
Access through Institution:
Abstract:
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: uk.bl.ethos.570571  DOI: Not available
Keywords: QA Mathematics
Share: