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On primitive Schubert indices of genus \(g\) and weight \(g-1\). (English) Zbl 0753.14028
For any primitive Schubert index \(\alpha\) of genus \(g\) and weight \(w<g- 1\), D. Eisenbud and J. Harris [Invent. Math. 87, 495-515 (1987; Zbl 0606.14014)] showed that there exists a dimensionally proper point with Schubert index \(\alpha\).
In this paper the author establishes that result for the remaining case where the weight \(w=g-1\). His proof, by using a result by Eisenbud and Harris (loc. cit.), reduces to establish the following result: For any odd integer \(g\) there exists a dimensionally proper point with Schubert index \(=(0^{(g+1)/2},2^{(g-1)/2})\).

MSC:
14H55 Riemann surfaces; Weierstrass points; gap sequences
Keywords:
Schubert index
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