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dc.contributor.advisorHarris, Joseph D.
dc.contributor.authorPflueger, Nathan K
dc.date.accessioned2014-06-06T16:40:30Z
dc.date.issued2014-06-06
dc.date.submitted2014
dc.identifier.citationPflueger, Nathan K. 2014. Regeneration of Elliptic Chains with Exceptional Linear Series. Doctoral dissertation, Harvard University.en_US
dc.identifier.otherhttp://dissertations.umi.com/gsas.harvard:11615en
dc.identifier.urihttp://nrs.harvard.edu/urn-3:HUL.InstRepos:12274140
dc.description.abstractWe study two dimension estimates regarding linear series on algebraic curves. First, we generalize the classical Brill-Noether theorem to many cases where the Brill-Noether number is negative. Second, we extend results of Eisenbud, Harris, and Komeda on the existence of Weierstrass points with certain semigroups, by refining their dimension estimate in light of combinatorial considerations. Both results are proved by constructing chains of elliptic curves, joined at pairs of points differed by carefully chosen orders of torsion, and smoothing these chains. These arguments lead to several combinatorial problems of separate interest.en_US
dc.description.sponsorshipMathematicsen_US
dc.language.isoen_USen_US
dash.licenseLAA
dc.subjectMathematicsen_US
dc.subjectalgebraic curvesen_US
dc.subjectalgebraic geometryen_US
dc.subjectBrill-Noether theoryen_US
dc.subjectnumerical semigroupsen_US
dc.subjectWeierstrass pointsen_US
dc.titleRegeneration of Elliptic Chains with Exceptional Linear Seriesen_US
dc.typeThesis or Dissertationen_US
dash.depositing.authorPflueger, Nathan K
dc.date.available2014-06-06T16:40:30Z
thesis.degree.date2014en_US
thesis.degree.disciplineMathematicsen_US
thesis.degree.grantorHarvard Universityen_US
thesis.degree.leveldoctoralen_US
thesis.degree.namePh.D.en_US
dc.contributor.committeeMemberElkies, Noamen_US
dc.contributor.committeeMemberTeixidor i Bigas, Montserraten_US
dash.contributor.affiliatedPflueger, Nathan K


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