Evan M. Bullock
Published 2010-02-16, updated 2011-05-01Version 2
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.
Comments: 24 pages, 10 figures
Weierstrass semigroups from cyclic covers of hyperelliptic curves
Cyclic covers of an algebraic curve from an adelic viewpoint
The Hodge--Poincaré polynomial of the moduli spaces of stable vector bundles over an algebraic curve
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