Enumeration of Genus-Two Curves with a Fixed Complex Structure in P^2 and P^3

Details Enumeration of Genus-Two Curves with a Fixed Complex Structure in P^2 and P^3 Enumeration of Genus-Two Curves with a Fixed Complex Structure in P^2 and P^3

2002-01-25

arxiv.org/abs/math/0201254v1

Mathematics

Symplectic Geometry

86 pages

Scientific paper

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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