Ramella: Strata of smooth space curves having unstable normal bundle

Ramella, Luciana:
Strata of smooth space curves having unstable normal bundle
Bollettino dell'Unione Matematica Italiana Serie 8 2-B (1999), fasc. n.3, p. 499-516, Unione Matematica Italiana (English)
pdf (297 Kb), djvu (243 Kb). | MR1719578 | Zbl 0963.14014

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Per $d \gg g$, vengono trovate curve liscie in $\mathbb{P}^{3}$ di grado $d$ e genere $g$ aventi fibrato normale instabile con grado di instabilità $\sigma$, per ogni $1\leq\sigma\leq d-4$. Inoltre per $4g-2\leq\sigma\leq d-4$, viene trovata una famiglia di curve in $\mathbb{P}^{3}$ di grado $d$ e genere $g$ avente fibrato normale instabile con grado di instabilità $\sigma$ e formante uno strato dello schema di Hilbert della giusta dimensione che è $4d-g+1-2\sigma$.

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Referenze Bibliografiche