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arxiv: 2606.06143 · v1 · pith:SM3OP5YUnew · submitted 2026-06-04 · 🧮 math.GT

Minimal Filling K-Systems of Curves

classification 🧮 math.GT
keywords curvesfillingminimaldetermineexactgenusintegersnumber
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In this paper, we determine the exact minimal number of curves in a filling $k$-system on an oriented surface of genus $g$ for any positive integers $k$ and $g$.

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