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Tautological integrals on curvilinear Hilbert schemes

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 نشر من قبل Gergely Berczi
 تاريخ النشر 2015
  مجال البحث
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 تأليف Gergely Berczi




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We take a new look at the curvilinear Hilbert scheme of points on a smooth projective variety $X$ as a projective completion of the non-reductive quotient of holomorphic map germs from the complex line into $X$ by polynomial reparametrisations. Using an algebraic model of this quotient coming from global singularity theory we develop an iterated residue formula for tautological integrals over curvilinear Hilbert schemes.

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