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

Abstract

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.

10 pages

References in corpus (2)

• Connected components of the moduli spaces of Abelian differentials with prescribed singularities
• Subcanonical points on algebraic curves