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Virtual Fundamental Classes of Zero Loci | | David A. Cox
; Sheldon Katz
; Yuan-Pin Lee
; | | Date: |
16 Jun 2000 | | Subject: | Algebraic Geometry MSC-class: 14D20 (Primary); 14N10 (Secondary) | math.AG | | Affiliation: | Amhert College), Sheldon Katz (Oklahoma State) and Yuan-Pin Lee (UCLA | | Abstract: | 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. | | Source: | arXiv, math.AG/0006116 | | Services: | Forum | Review | PDF | Favorites | |
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