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Conic divisorial ideals of Hibi rings and their applications to non-commutative crepant resolutions

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 نشر من قبل Yusuke Nakajima
 تاريخ النشر 2017
  مجال البحث
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In this paper, we study divisorial ideals of a Hibi ring which is a toric ring arising from a partially ordered set. We especially characterize the special class of divisorial ideals called conic using the associated partially ordered set. Using our description of conic divisorial ideals, we also construct a module giving a non-commutative crepant resolution (= NCCR) of the Segre product of polynomial rings. Furthermore, applying the operation called mutation, we give other modules giving NCCRs of it.



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