Line bundles and curves on a del Pezzo order. Lerner, Boris en_US 2022-03-21T11:13:12Z 2022-03-21T11:13:12Z 2012 en_US
dc.description.abstract Orders on surfaces provided a rich source of examples of noncommutative surfaces. The existence of the analogue of the Picard scheme for orders, has previously been established by Haffmann and Stuhler and in fact Chan and Kulkarni had already computed it for an order on the projective plane ramified on a smooth quartic. In this thesis, I continue this line of work, by studying the Picard and Hilbert schemes for an order on the projective plane ramified on a union of two conics. My main result is that, upon carefully selecting the right Chern classes, the Hilbert scheme is a ruled surface over a genus two curve. Furthermore, this genus two curve is, in itself, the Picard scheme of the order. en_US
dc.language English
dc.language.iso EN en_US
dc.publisher UNSW, Sydney en_US
dc.rights CC BY-NC-ND 3.0 en_US
dc.rights.uri en_US
dc.subject.other Picard scheme en_US
dc.subject.other Noncommutative algebraic geometry en_US
dc.subject.other Hilbert scheme en_US
dc.subject.other Line bundle en_US
dc.title Line bundles and curves on a del Pezzo order. en_US
dc.type Thesis en_US
dcterms.accessRights open access
dcterms.rightsHolder Lerner, Boris
dspace.entity.type Publication en_US
unsw.relation.faculty Science
unsw.relation.originalPublicationAffiliation Lerner, Boris, Mathematics & Statistics, Faculty of Science, UNSW en_US School of Mathematics & Statistics *
unsw.thesis.degreetype PhD Doctorate en_US
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