Families of special Weierstrass points. (English) Zbl 1180.14036
Summary: The purpose of this note is to show that loci of (special) Weierstrass points on the fibers of a family \(\pi : \mathfrak X \to S\) of smooth curves of genus \(g\geqslant 2\) can be studied by simply pulling back the Schubert calculus naturally living on a suitable Grassmann bundle over \(\mathfrak X\). Using such an idea we prove new results regarding the decomposition in \(A_ * \mathfrak X \) of the class of the locus of Weierstrass points having weight at least 3 as the sum of classes of Weierstrass points having “bounded from below” gaps sequences.
MSC:
| 14H55 | Riemann surfaces; Weierstrass points; gap sequences |
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