EuDML | Browse

Displaying 61 – 69 of 69

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...

On triple curves through a rational triple point of a surface

M. R. Gonzalez-Dorrego (2006)

Annales Polonici Mathematici

Let k be an algebraically closed field of characteristic 0. Let C be an irreducible nonsingular curve in ℙⁿ such that 3C = S ∩ F, where S is a hypersurface and F is a surface in ℙⁿ and F has rational triple points. We classify the rational triple points through which such a curve C can pass (Theorem 1.8), and give an example (1.12). We only consider reduced and irreducible surfaces.

Displaying 61 – 69 of 69

On the smallest degree of a surface containing a space curve

On triple curves through a rational triple point of a surface

On Two Types of Surfaces of General Type with Vanishing Geometric Genus.

On unions of scrolls along linear spaces

On Unirationality of Supersingular Surfaces.

One attempt to the $K 3$ modular function I

One attempt to the $K 3$ modular function - II

Open surfaces with non-positive Euler characteristic

Osculatory behavior and second dual varieties of Del Pezzo surfaces.

Currently displaying 61 – 69 of 69