1 Ocak 2011 Dergi makalesi Açık Erişim

Buyukboduk, Kazim

DataCite XML

<?xml version='1.0' encoding='utf-8'?>
<resource xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://datacite.org/schema/kernel-4" xsi:schemaLocation="http://datacite.org/schema/kernel-4 http://schema.datacite.org/meta/kernel-4.1/metadata.xsd">
  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/19361</identifier>
  <creators>
    <creator>
      <creatorName>Buyukboduk, Kazim</creatorName>
      <givenName>Kazim</givenName>
      <familyName>Buyukboduk</familyName>
    </creator>
  </creators>
  <titles>
    <title>Lambda-Adic Kolyvagin Systems</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2011</publicationYear>
  <dates>
    <date dateType="Issued">2011-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/19361</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.1093/imrn/rnq186</relatedIdentifier>
  </relatedIdentifiers>
  <rightsList>
    <rights rightsURI="http://www.opendefinition.org/licenses/cc-by">Creative Commons Attribution</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
  </rightsList>
  <descriptions>
    <description descriptionType="Abstract">In this paper, we study Kolyvagin systems, as defined by Mazur and Rubin, over the cyclotomic Z(p)-tower for a Gal((Q) over bar/Q)- representation T. We prove, under certain hypotheses, that the module of Lambda-adic Kolyvagin systems for the cyclotomic deformation T circle times Lambda is free of rank 1 over the cyclotomic Iwasawa algebra. We link our result with a web of conjectures due to Perrin-Riou and Rubin; and we relate the Lambda-adic Kolyvagin systems we prove to exist to (conjectural) p- adic L-functions. We also study the Iwasawa theory of Rubin-Stark elements via the perspective offered by our main theorem, and outline a strategy to deduce the main conjectures of Iwasawa theory for totally real number fields assuming the Rubin-Stark conjecture.</description>
  </descriptions>
</resource>