2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63506We 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 pagesSymplectic GeometryAlgebraic Geometry53D99; 14N10Enumeration of Genus-Three Plane Curves with a Fixed Complex Structuretext