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arXiv · 1002.2984

Subcanonical points on algebraic curves

Evan M. Bullock
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Abstract

A point of an algebraic curve of genus g is subcanonical if some regular differential vanishes only at that point, with multiplicity 2g-2. Subcanonical points are Weierstrass points, and we compute the associated gap sequence at a general point of each component of the moduli space of curves with marked subcanonical point. We also construct subcanonical points with other gap sequences as ramification points of certain cyclic covers.

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Evan M. Bullock. 2011-05-01. Subcanonical points on algebraic curves. https://arxiv.org/abs/1002.2984

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