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The Weierstrass gap sequence at an inflection point on a nodal plane curve, aligned inflection points on plane curves. (English) Zbl 0910.14013
In this article, the authors consider a general smooth plane curve of degree \(d\) possessing an \((e-2)\)-inflection point \(P\). They show that
(i) if \(2e<d\), then \(P\) is not a Weierstrass point, and
(ii) if \(2e \geq d\), then they describe the Weierstrass gap sequence at \(P\).

MSC:
14H55 Riemann surfaces; Weierstrass points; gap sequences
14H20 Singularities of curves, local rings
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