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Medientyp:
E-Artikel
Titel:
ON THE CLOSURE IN M̄gOF SMOOTH CURVES HAVING A SPECIAL WEIERSTRASS POINT
Beteiligte:
GATTO, LETTERIO
Erschienen:
DANSK MATEMATISK FORENING / ÍSLENZKA STÆŘKFRAÆ̌KAFÉLAGǏK / NORSK MATEMATISK FORENING, 2001
Erschienen in:
Mathematica Scandinavica, 88 (2001) 1, Seite 41-71
Sprache:
Englisch
ISSN:
1903-1807;
0025-5521
Entstehung:
Anmerkungen:
Beschreibung:
Let $\overline{\mathrm{w}\mathrm{t}\left(2\right)}$ be the closure in M̄g, the coarse moduli space of stable complex curves of genus g ≥ 3, of the locus in Mg of curves possessing a Weierstrass point of weight at least 2. The class of $\overline{\mathrm{w}\mathrm{t}\left(2\right)}$ in the group Pic(M̄g) ⊗ Q is computed. The computation heavily relies on the notion of "derivative" of a relative Wronskian, introduced in [15] for families of smooth curves and here extended to suitable families of Deligne-Mumford stable curves. Such a computation provides, as a byproduct, a simpler proof of the main result proven in [6].