# On the moduli spaces of Gorenstein curves with symmetric Weierstrass semigroups.

@article{Takase1993OnTM,
title={On the moduli spaces of Gorenstein curves with symmetric Weierstrass semigroups.},
author={Koichi Y. Takase and Karl-Otto St{\"o}hr},
journal={Journal f{\"u}r die reine und angewandte Mathematik (Crelles Journal)},
year={1993},
volume={1993},
pages={189 - 214}
}
• Published 1993
• Mathematics
• Journal für die reine und angewandte Mathematik (Crelles Journal)
There are two powerful tools, both based on deformation theory, to study the smooth projective pointed curves with a prescribed Weierstrass gap sequence f^ * f 2 , . . . , t. On the one band, Pinkham [Pi] constructs their moduli space by deforming irreducible singular affine curves, and on the other band Eisenbud and Harris [EH], by deforming reducible curves, obtain among many other results the existence of smooth curves whenever the
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