Finite Number of Fibre Products of Kummer Covers and Curves With Many Points Over Finite Fields

dc.authorid /0000-0002-1694-9283
dc.authorscopusid 6603589033
dc.authorscopusid 22136765100
dc.authorwosid /AAZ-6893-2020
dc.authorwosid Temür, Burcu Gülmez/ABF-4807-2021
dc.contributor.author Ozbudak, Ferruh
dc.contributor.author Temur, Burcu Gulmez
dc.contributor.other Mathematics
dc.date.accessioned 2024-07-05T14:27:09Z
dc.date.available 2024-07-05T14:27:09Z
dc.date.issued 2014
dc.department Atılım University en_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, Turkey en_US
dc.description /0000-0002-1694-9283; en_US
dc.description.abstract We 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.sponsorship TUBITAK [TBAG-109T672] en_US
dc.description.sponsorship We 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.citationcount 5
dc.identifier.doi 10.1007/s10623-012-9706-2
dc.identifier.endpage 404 en_US
dc.identifier.issn 0925-1022
dc.identifier.issn 1573-7586
dc.identifier.issue 3 en_US
dc.identifier.scopus 2-s2.0-84894077721
dc.identifier.startpage 385 en_US
dc.identifier.uri https://doi.org/10.1007/s10623-012-9706-2
dc.identifier.uri https://hdl.handle.net/20.500.14411/228
dc.identifier.volume 70 en_US
dc.identifier.wos WOS:000331210200009
dc.identifier.wosquality Q2
dc.institutionauthor Gülmez Temür, Burcu
dc.language.iso en en_US
dc.publisher Springer en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.scopus.citedbyCount 4
dc.subject Curves with many points over finite fields en_US
dc.subject Kummer covers en_US
dc.subject Fibre products en_US
dc.title Finite Number of Fibre Products of Kummer Covers and Curves With Many Points Over Finite Fields en_US
dc.type Article en_US
dc.wos.citedbyCount 5
dspace.entity.type Publication
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