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On the distribution of Weierstrass points on singular curves

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Abstract

Weierstrass points are defined for invertible sheaves on integral, projective Gorenstein curves. An example is given of a rational nodal curveX and an invertible sheaf ℒ of positive degree onX such that the set of all higher order Weierstrass points of ℒ is not dense inX.

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Authors and Affiliations

  1. Department of Mathematics, Louisiana State University, 70803, Baton Rouge, LA, USA

    R. F. Lax

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  1. R. F. Lax
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Lax, R.F. On the distribution of Weierstrass points on singular curves. Israel J. Math. 57, 107–115 (1987). https://doi.org/10.1007/BF02769464

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  • DOI: https://doi.org/10.1007/BF02769464

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