Geodesic
The locus of curves with an odd subcanonical point
Documenta mathematica, Tome 28 (2023) no. 5, pp. 1027-1052

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We present an explicit construction of a compactification of the locus of smooth curves whose symmetric Weierstrass semigroup at a marked point is odd. This construction extends Stöhr’s techniques, which can be seen as a variant of Hauser’s algorithm for computing versal deformation spaces. As an application, we prove the rationality of the locus for genus at most six.
DOI : 10.4171/dm/934
Classification : 14H55, 14H10, 13D02, 14D15
Mots-clés : Weierstrass points, moduli of curves, versal deformation 
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André Contiero; Aislan Fontes. The locus of curves with an odd subcanonical point. Documenta mathematica, Tome 28 (2023) no. 5, pp. 1027-1052. doi: 10.4171/dm/934

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