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T \^e te- \`a -t \^e te twists, monodromies and representation of elements of mapping class group

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Vanishing arcs for isolated plane curve singularities

math.GT · 2025-06-05 · conditional · novelty 7.0

For plane curve singularities, the paper characterizes which arcs map to vanishing cycles under the geometric variation operator, and constructs 'topological exceptional collections' of vanishing arcsets for any A'Campo divide.

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  • Vanishing arcs for isolated plane curve singularities math.GT · 2025-06-05 · conditional · none · ref 4

    For plane curve singularities, the paper characterizes which arcs map to vanishing cycles under the geometric variation operator, and constructs 'topological exceptional collections' of vanishing arcsets for any A'Campo divide.