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    <id>355</id>
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    <language>eng</language>
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    <completedDate>1998-03-16</completedDate>
    <publishedDate>1998-03-16</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">On crepant resolutions of 2-parameter series of Gorenstein cyclic quotient singularities</title>
    <abstract language="eng">\noindent An immediate generalization of the classical McKay correspondence for Gorenstein quotient spaces $\Bbb{C}^{r}/G$ in dimensions $r\geq 4$ would primarily demand the existence of projective, crepant, full desingularizations. Since this is not always possible, it is natural to ask about special classes of such quotient spaces which would satisfy the above property. In this paper we give explicit necessary and sufficient conditions under which 2-parameter series of Gorenstein cyclic quotient singularities have torus-equivariant resolutions of this specific sort in all dimensions.</abstract>
    <identifier type="serial">SC-98-12</identifier>
    <identifier type="opus3-id">356</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-3559</identifier>
    <enrichment key="SourceTitle">Appeared in: Results in Mathematics 33 (1998) 208-266</enrichment>
    <author>Dimitrios I. Dais</author>
    <author>Utz-Uwe Haus</author>
    <author>Martin Henk</author>
    <series>
      <title>ZIB-Report</title>
      <number>SC-98-12</number>
    </series>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="msc" number="14M25">Toric varieties, Newton polyhedra [See also 52B20]</collection>
    <collection role="msc" number="14Q15">Higher-dimensional varieties</collection>
    <collection role="institutes" number="">ZIB Allgemein</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/355/SC-98-12.ps</file>
    <file>https://opus4.kobv.de/opus4-zib/files/355/SC-98-12.pdf</file>
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