Enumeration of Genus-Two Curves with a Fixed Complex Structure in P^2 and P^3
Symplectic Geometry
2007-05-23 v1 Algebraic Geometry
Abstract
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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Cite
@article{arxiv.math/0201254,
title = {Enumeration of Genus-Two Curves with a Fixed Complex Structure in P^2 and P^3},
author = {A. Zinger},
journal= {arXiv preprint arXiv:math/0201254},
year = {2007}
}
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86 pages