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Enumeration of genus-three plane curves with a fixed complex structure

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5 Scopus citations

Abstract

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

Original languageEnglish
Pages (from-to)35-81
Number of pages47
JournalJournal of Algebraic Geometry
Volume14
Issue number1
DOIs
StatePublished - Jan 2005

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