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dc.contributor.advisorDegtyarev, Alexander
dc.contributor.authorKişioğlu, Mehmet
dc.date.accessioned2016-10-04T10:39:58Z
dc.date.available2016-10-04T10:39:58Z
dc.date.copyright2016-10
dc.date.issued2016-10
dc.date.submitted2016-10-03
dc.identifier.urihttp://hdl.handle.net/11693/32415
dc.descriptionCataloged from PDF version of article.en_US
dc.descriptionThesis (M.S.): Bilkent University, Department of Mathematics, İhsan Doğramacı Bilkent University, 2016en_US
dc.descriptionIncludes bibliographical references (leaves 19).en_US
dc.description.abstractThe Nẹ́ron-Severi group, NS(X), of a given (non-singular projective) variety, X, is defined in only algebro-geometric terms, however it is also known to be an arithmetic invariant. So it is an important study that helps understanding the geometry of the variety. However, there is no known method to compute it in general. For this reason, one first computes the Picard number p(X) = rnk NS(X) of the variety. There has been many studies which elevated the understanding of p(X) in special cases. Yet the difficulty of the computation in the general case still remains. On the other hand, in the case of Delsarte surfaces, an explicit algorithm to compute p(X) is given by Shioda [1], and Degtyarev [2] showed that a generating set for the Nẹ́ron-Severi group, NS(X) can be computed in some cases. Moreover, Heijne [3] gives a classification of all Delsarte surfaces with only isolated ADE singularities. We give an introduction to Delsarte surfaces, and determine which of the Delsarte surfaces given in [3] fit in the descriptions given in [2].en_US
dc.description.statementofresponsibilityby Mehmet Kişioğlu.en_US
dc.format.extentvii, 23 leaves : charts.en_US
dc.language.isoEnglishen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectNẹ́ron-Severi groupen_US
dc.subjectDelsarte surfaceen_US
dc.subjectSmith normal formen_US
dc.titleOn the Nẹ́ron-severi lattice of Delsarte surfacesen_US
dc.title.alternativeDelsarte yüzeylerinin Nẹ́ron-severi latisi üzerineen_US
dc.typeThesisen_US
dc.departmentDepartment of Mathematicsen_US
dc.publisherBilkent Universityen_US
dc.description.degreeM.S.en_US
dc.identifier.itemidB154304


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