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Weierstrass points on rational nodal curves

Published online by Cambridge University Press:  18 May 2009

R. F. Lax
R. F. Lax
Affiliation:
Louisiana State University, Baton Rouge, LA 70803, U.S.A.
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C. Widland [14] has defined Weierstrass points on integral, projective Gorenstein curves. We show here that the Weierstrass points on a generic integral rational nodal curve have the minimal possible weights or, equivalently, that such a curve has the maximum possible number of distinct nonsingular Weierstrass points. Rational curves with g nodes arise in degeneration arguments involving smooth curves of genus g and they have also recently arisen in connection with g-soliton solutions to certain nonlinear partial differential equations [11], [13].

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 29 , Issue 1 , January 1987 , pp. 131 - 140
Copyright
Copyright © Glasgow Mathematical Journal Trust 1987

References

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