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· 2026 · DOI 10.5281/zenodo.20742383

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math.AG 1

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2026 1

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Hilbert's 16th problem for arrangements of curves on a surface

math.AG · 2026-06-19 · unverdicted · novelty 7.0

New combinatorial encoding (n,W,T) classifies topological types of transverse curves in surface arrangements, yielding complete classification for three lines plus cubic and partial for quartic via Bézout obstructions, Viro patchworking, and a new Julia library.

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  • Hilbert's 16th problem for arrangements of curves on a surface math.AG · 2026-06-19 · unverdicted · none · ref 14

    New combinatorial encoding (n,W,T) classifies topological types of transverse curves in surface arrangements, yielding complete classification for three lines plus cubic and partial for quartic via Bézout obstructions, Viro patchworking, and a new Julia library.