Show simple item record

dc.contributor.advisorCavalieri, Renzo
dc.contributor.authorMiles, Eric W.
dc.contributor.committeememberAchter, Jeff
dc.contributor.committeememberPeterson, Chris
dc.contributor.committeememberPrasad, Ashok
dc.contributor.committeememberPries, Rachel
dc.date.accessioned2007-01-03T06:32:31Z
dc.date.available2007-01-03T06:32:31Z
dc.date.submitted2014
dc.description2014 Summer.
dc.description.abstractBridgeland Stability Conditions can be thought of as tools for creating and varying moduli spaces parameterizing objects in the derived category of a variety X. Line bundles on the variety are fundamental objects in its derived category, and we characterize the Bridgeland stability of line bundles on certain surfaces. Evidence is provided for an analogous characterization in the general case. We find stability conditions for P1 × P1 which can be seen as giving the stability of representations of quivers, and we deduce projective structure on the Bridgeland moduli spaces in this situation. Finally, we prove a number of results on objects and a construction related to the quivers mentioned above.
dc.format.mediumborn digital
dc.format.mediumdoctoral dissertations
dc.identifierMiles_colostate_0053A_12433.pdf
dc.identifier.urihttp://hdl.handle.net/10217/83790
dc.languageEnglish
dc.publisherColorado State University. Libraries
dc.relation.ispartof2000-2019 - CSU Theses and Dissertations
dc.rightsCopyright of the original work is retained by the author.
dc.subjectline bundle
dc.subjectsurface
dc.subjectstability condition
dc.titleBridgeland stability of line bundles on smooth projective surfaces
dc.typeText
dcterms.rights.dplaThe copyright and related rights status of this Item has not been evaluated (https://rightsstatements.org/vocab/CNE/1.0/). Please refer to the organization that has made the Item available for more information.
thesis.degree.disciplineMathematics
thesis.degree.grantorColorado State University
thesis.degree.levelDoctoral
thesis.degree.nameDoctor of Philosophy (Ph.D.)


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record