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}
}
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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