Finite number of fibre products of Kummer covers and curves with many points over finite fields

dc.authorid/0000-0002-1694-9283
dc.authorscopusid6603589033
dc.authorscopusid22136765100
dc.authorwosid/AAZ-6893-2020
dc.authorwosidTemür, Burcu Gülmez/ABF-4807-2021
dc.contributor.authorOzbudak, Ferruh
dc.contributor.authorTemur, Burcu Gulmez
dc.contributor.otherMathematics
dc.date.accessioned2024-07-05T14:27:09Z
dc.date.available2024-07-05T14:27:09Z
dc.date.issued2014
dc.departmentAtılım Universityen_US
dc.department-temp[Ozbudak, Ferruh] Middle E Tech Univ, Dept Math, TR-06800 Ankara, Turkey; [Ozbudak, Ferruh] Middle E Tech Univ, Inst Appl Math, TR-06800 Ankara, Turkey; [Temur, Burcu Gulmez] Atilim Univ, Dept Math, TR-06836 Ankara, Turkeyen_US
dc.description/0000-0002-1694-9283;en_US
dc.description.abstractWe study fibre products of a finite number of Kummer covers of the projective line over finite fields. We determine the number of rational points of the fibre product over a rational point of the projective line, which improves the results of Ozbudak and Temur (Appl Algebra Eng Commun Comput 18:433-443, 2007) substantially. We also construct explicit examples of fibre products of Kummer covers with many rational points, including a record and two new entries for the current table (http://www.manypoints.org, 2011).en_US
dc.description.sponsorshipTUBITAK [TBAG-109T672]en_US
dc.description.sponsorshipWe would like to thank the anonymous reviewers for their detailed and useful suggestions which improved the paper. The authors were partially supported by TUBITAK under Grant No. TBAG-109T672.en_US
dc.identifier.citation5
dc.identifier.doi10.1007/s10623-012-9706-2
dc.identifier.endpage404en_US
dc.identifier.issn0925-1022
dc.identifier.issn1573-7586
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-84894077721
dc.identifier.startpage385en_US
dc.identifier.urihttps://doi.org/10.1007/s10623-012-9706-2
dc.identifier.urihttps://hdl.handle.net/20.500.14411/228
dc.identifier.volume70en_US
dc.identifier.wosWOS:000331210200009
dc.identifier.wosqualityQ2
dc.institutionauthorGülmez Temür, Burcu
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectCurves with many points over finite fieldsen_US
dc.subjectKummer coversen_US
dc.subjectFibre productsen_US
dc.titleFinite number of fibre products of Kummer covers and curves with many points over finite fieldsen_US
dc.typeArticleen_US
dspace.entity.typePublication
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relation.isOrgUnitOfPublication.latestForDiscovery31ddeb89-24da-4427-917a-250e710b969c

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