Irreducibility and stable rationality of the loci of Weierstrass points on curves of genus at most six

Details Irreducibility and stable rationality of the loci of Weierstrass points on curves of genus at most six Irreducibility and stable rationality of the loci of Weierstrass points on curves of genus at most six

2011-05-13

arxiv.org/abs/1105.2784v1

Mathematics

Algebraic Geometry

10 pages

Scientific paper

We show that for any numerical semigroup H of genus g at most 6, the locus of
Weierstrass points on curves of genus g with Weierstrass semigroup H is
irreducible and that for all but possibly two semigroups it is stably rational.

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