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Virtual Fundamental Classes of Zero Loci

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 نشر من قبل David Cox
 تاريخ النشر 2000
  مجال البحث
والبحث باللغة English
 تأليف David A. Cox




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Let V be a convex vector bundle over a smooth projective manifold X, and let Y be the subset of X which is the zero locus of a regular section of V. This mostly expository paper discusses a conjecture which relates the virtual fundamental classes of X and Y. Using an argument due to Gathmann, we prove a special case of the conjecture. The paper concludes with a discussion of how our conjecture relates to the mirror theorems in the literature.

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