Rational embeddings of the Severi Brauer variety

dc.contributor.advisorSaltman, D. J. (David J.), 1951-en
dc.contributor.committeeMemberHelm, Daviden
dc.contributor.committeeMemberReid, Alanen
dc.contributor.committeeMemberHeitmann, Rayen
dc.contributor.committeeMemberHaile, Darrellen
dc.creatorMeth, John Charlesen
dc.date.accessioned2010-09-30T19:14:06Zen
dc.date.available2010-09-30T19:14:06Zen
dc.date.available2010-09-30T19:14:11Zen
dc.date.issued2010-05en
dc.date.submittedMay 2010en
dc.date.updated2010-09-30T19:14:11Zen
dc.descriptiontexten
dc.description.abstractIn an attempt to prove Amitsur's Conjecture for cyclic subgroups of the Brauer group, we look at rational embeddings of the Severi Brauer variety of an algebra into its norm hypersurface. We enlarge the collection of such embeddings, and generalize them to embeddings of generalized Severi Brauer varieties into determinantal varieties.en
dc.description.departmentMathematics
dc.format.mimetypeapplication/pdfen
dc.identifier.urihttp://hdl.handle.net/2152/ETD-UT-2010-05-916en
dc.language.isoengen
dc.subjectSeveri Brauer varietyen
dc.subjectCentral simple algebraen
dc.subjectBrauer groupen
dc.subjectDivision algebraen
dc.subjectSkew fielden
dc.subjectTautological bundleen
dc.subjectDeterminantal varietyen
dc.subjectNorm hypersurfaceen
dc.titleRational embeddings of the Severi Brauer varietyen
dc.type.genrethesisen
thesis.degree.departmentMathematicsen
thesis.degree.disciplineMathematicsen
thesis.degree.grantorUniversity of Texas at Austinen
thesis.degree.levelDoctoralen
thesis.degree.nameDoctor of Philosophyen

Access full-text files

Original bundle

Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
METH-DISSERTATION.pdf
Size:
353.62 KB
Format:
Adobe Portable Document Format

License bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
2.12 KB
Format:
Plain Text
Description: