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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