The purpose of this Note is to show that loci of (special) Weierstrass points on the fibers of a family X over S of smooth curves of genus greater than 2 can be studied by simply pulling back the Schubert calculus naturally living on a suitable Grassmann bundle over X. Using such an idea we prove new results regarding the decomposition in in the Chow group of X of the class of the locus of Weierstrass points locus of Weierstrass points having weight at least 3 as the sum of classes of Weierstrass points having “bounded from below” gaps sequences.

Families of Special Weierstrass points / Gatto, Letterio; Parham, Salehyan. - In: COMPTES RENDUS MATHÉMATIQUE. - ISSN 1631-073X. - STAMPA. - 347:(2009), pp. 1295-1298. [10.1016/j.crma.2009.09.018]

Families of Special Weierstrass points

GATTO, Letterio;
2009

Abstract

The purpose of this Note is to show that loci of (special) Weierstrass points on the fibers of a family X over S of smooth curves of genus greater than 2 can be studied by simply pulling back the Schubert calculus naturally living on a suitable Grassmann bundle over X. Using such an idea we prove new results regarding the decomposition in in the Chow group of X of the class of the locus of Weierstrass points locus of Weierstrass points having weight at least 3 as the sum of classes of Weierstrass points having “bounded from below” gaps sequences.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2281949
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