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Currently displaying 1 – 2 of 2

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Rational components of Hilbert schemes

Paolo Lella; Margherita Roggero — 2011

Rendiconti del Seminario Matematico della Università di Padova

On the smallest degree of a surface containing a space curve

Margherita Roggero; Paolo Valabrega — 1998

Bollettino dell'Unione Matematica Italiana

Sia $C$ una curva dello spazio di grado $D$ contenuta in una superficie di grado $r$ e non in una di grado $r - 1$ . Se $C$ è integra, allora $r \leq \sqrt{6 D - 2} - 2$ ; questo limite superiore, raggiunto in alcuni casi (cfr. [5]), non vale però per curve arbitrarie (cfr. [?, 3 (iii)]). Ogni curva $C$ dello spazio (anche non ridotta o riducibile) può essere ottenuta come schema degli zero di una sezione non nulla di un opportuno fascio riflessivo $F$ di rango 2. Mediante i fasci riflessivi, siamo in grado di estendere alle curve riducibili...

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