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dc.contributor.authorTavares Bujokas, Gabrielen_US
dc.date.accessioned2015-07-17T17:39:35Z
dc.date.created2015-05en_US
dc.date.issued2015-04-30en_US
dc.date.submitted2015en_US
dc.identifier.citationTavares Bujokas, Gabriel. 2015. Covers of an Elliptic Curve E and Curves in ExP1. Doctoral dissertation, Harvard University, Graduate School of Arts & Sciences.en_US
dc.identifier.urihttp://nrs.harvard.edu/urn-3:HUL.InstRepos:17467298
dc.description.abstractWe describe the hyperplane sections of the Severi variety of curves in ExP1 in a similar fashion to Caporaso—Harris’ seminal work. From this description we almost get a recursive formula for the Severi degrees—we get the terms, but not the coefficients. As an application, we determine the components of the Hurwitz space of simply branched covers of a genus one curve. In return, we use this characterization to describe the components of the Severi variety of curves in E × P1, in a restricted range of degrees.en_US
dc.description.sponsorshipMathematicsen_US
dc.format.mimetypeapplication/pdfen_US
dc.language.isoenen_US
dash.licenseLAAen_US
dc.subjectMathematicsen_US
dc.titleCovers of an Elliptic Curve E and Curves in ExP1en_US
dc.typeThesis or Dissertationen_US
dash.depositing.authorTavares Bujokas, Gabrielen_US
dc.date.available2015-07-17T17:39:35Z
thesis.degree.date2015en_US
thesis.degree.grantorGraduate School of Arts & Sciencesen_US
thesis.degree.levelDoctoralen_US
thesis.degree.nameDoctor of Philosophyen_US
dc.contributor.committeeMemberHarris, Joeen_US
dc.contributor.committeeMemberMazur, Barryen_US
dc.contributor.committeeMemberChen, Daweien_US
dc.type.materialtexten_US
thesis.degree.departmentMathematicsen_US
dash.identifier.vireohttp://etds.lib.harvard.edu/gsas/admin/view/221en_US
dc.description.keywordsHurwitz; Severi; branched covers; elliptic curvesen_US
dash.author.emailgbujokas@gmail.comen_US
dash.identifier.drsurn-3:HUL.DRS.OBJECT:25164537en_US
dash.identifier.orcid0000-0002-5580-8029en_US
dash.contributor.affiliatedTavares Bujokas, Gabriel
dc.identifier.orcid0000-0002-5580-8029


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