Enumeration of Genus-Three Plane Curves with a Fixed Complex Structure

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We give a practical formula for counting irreducible nodal genus-three plane curves that a fixed generic complex structure on the normalization. As an intermediate step, we enumerate rational plane curves that have a $(3,4)$-cusp.
36 pages

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Symplectic Geometry, Algebraic Geometry, 53D99; 14N10

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http://salesiana.dossiersoluciones.com/handle/123456789/63506

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0203058
 http://arxiv.org/abs/math/0203058

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arXiv