The genus of curves in \({\mathbb{P}}^ 4\) and \({\mathbb{P}}^ 5\)

DOI10.1007/BF01221588zbMath0712.14017MaRDI QIDQ923640

Jürgen Rathmann

Publication date: 1989

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174107

zbMATH Keywords

degreeDel Pezzo surfacegenusBordiga surfaces

Mathematics Subject Classification ID

Plane and space curves (14H50) Special algebraic curves and curves of low genus (14H45) Projective techniques in algebraic geometry (14N05) Special surfaces (14J25)

Related Items (6)

On the Hilbert scheme of smooth curves in ℙ4 of degree d = g + 1 and genus g with negative Brill–Noether number ⋮ On the Hilbert scheme of linearly normal curves in \(\mathbb{P}^r\) with small index of speciality ⋮ Curves in projective spaces: questions and remarks ⋮ The Hilbert scheme of space curves sitting on a smooth surface containing a line ⋮ Existence and reducibility of the Hilbert scheme of smooth and linearly normal curves in \(\mathbb{P}^r\) of relatively high degrees ⋮ On the Hilbert scheme of linearly normal curves in \(\mathbb{P}^4\) of degree \(d = g+1\) and genus \(g\)

Cites Work

• Moduli reflexiver Garben und Flächen von kleinem Grad in \(P^ 4\)
• The uniform position principle for curves in characteristic p
• On the existence of the algebraic curves in projective n-space
• Genre des courbes de l'espace projectif. II
• Hilbert scheme of smooth space curves
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