Effective invariants of braid monodromy and topology of plane curves
classification
🧮 math.AG
math.GT
keywords
curvesbraidmonodromyeffectiveinvariantstopologyadmitaffine
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In this paper we construct effective invariants for braid monodromy of affine curves. We also prove that, for some curves, braid monodromy determines their topology. We apply this result to find a pair of curves with conjugate equations in a number field but which do not admit any orientation-preserving homeomorphism.
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