Enumeration of Genus-Two Curves with a Fixed Complex Structure in P² and P³
classification
🧮 math.SG
math.AG
keywords
enumerativegenus-twofixed-complex-structureinvariantinvariantsapproachcomplexcorresponding
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We express the genus-two fixed-complex-structure enumerative invariants of P^2 and P^3 in terms of the genus-zero enumerative invariants. The approach is to relate each genus-two fixed-complex-structure enumerative invariant to the corresponding symplectic invariant.
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