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

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

2002-03-06

arxiv.org/abs/math/0203058v1

Mathematics

Symplectic Geometry

36 pages

Scientific paper

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.

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