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Artin-Schreier curves

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dc.contributor.authorFarnell, Shawn, author
dc.contributor.authorPries, Rachel, advisor
dc.contributor.authorAchter, Jeffrey D., committee member
dc.contributor.authorPeterson, Christopher Scott, 1963-, committee member
dc.contributor.authorGelfand, Martin Paul, committee member
dc.date.accessioned2007-01-03T04:52:07Z
dc.date.available2007-01-03T04:52:07Z
dc.date.issued2010
dc.description.abstractLet k be an algebraically closed field of characteristic p where p is a prime number. The main focus of this work is on properties of Artin-Schreier curves. In particular, we study two invariants of the p-torsion of the Jacobian of these curves: the p-rank and the a-number. In the main result, we demonstrate a family of Artin-Schreier curves for which the a-number is constant. We also give a result concerning the existence of deformations of Artin-Schreier curves with varying p-rank.
dc.format.mediumborn digital
dc.format.mediumdoctoral dissertations
dc.identifierFarnell_colostate_0053A_10114.pdf
dc.identifierETDF2010100007MATH
dc.identifier.urihttp://hdl.handle.net/10217/44957
dc.languageEnglish
dc.language.isoeng
dc.publisherColorado State University. Libraries
dc.relation.ispartof2000-2019
dc.rightsCopyright and other restrictions may apply. User is responsible for compliance with all applicable laws. For information about copyright law, please see https://libguides.colostate.edu/copyright.
dc.subjectArtin-Schreier
dc.subjectmoduli
dc.subjectinvariant
dc.subjectdeformation
dc.subjectcurve
dc.subjectCurves, Algebraic
dc.subjectDeformations of singularities
dc.subjectModuli theory
dc.subjectSmooth affine curves
dc.subjectJacobians
dc.titleArtin-Schreier curves
dc.typeText
dcterms.rights.dplaThis Item is protected by copyright and/or related rights (https://rightsstatements.org/vocab/InC/1.0/). You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).
thesis.degree.disciplineMathematics
thesis.degree.grantorColorado State University
thesis.degree.levelDoctoral
thesis.degree.nameDoctor of Philosophy (Ph.D.)

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