Rational surfaces in \({\mathbb{P}}^4\) containing a plane curve

DOI10.1007/BF01782614zbMath0953.14023arXivalg-geom/9505021OpenAlexW2034365159MaRDI QIDQ1817914

Fabrizio Catanese, Klaus Hulek

Publication date: 4 January 2000

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/alg-geom/9505021

zbMATH Keywords

rational surfacesfine classification of non-special rational surfacesquotient of a rational variety

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Plane and space curves (14H50) Families, moduli, classification: algebraic theory (14J10) Projective techniques in algebraic geometry (14N05)

Related Items (4)

Embeddings of curves and surfaces ⋮ On smooth rational threefolds of P⁵ with rational non—special hyperplane section ⋮ On 2-very ample divisors of genus \(\leq 8\) on algebraic surfaces ⋮ A note on rational surfaces in \(\mathbb{P}^4\)

Cites Work

• Surfaces rationelles non-spéciales dans \({\mathbb{P}}^ 4\). (Non special rational surfaces in \({\mathbb{P}}^ 4)\)
• Über 2-codimensionale Untermannigfaltigkeiten vom Grad 7 in \({\mathbb{P}}^ 4\) und \({\mathbb{P}}^ 5\)
• Flächen vom Grad 8 im \({\mathbb{P}}^ 4\). (Degree 8 surfaces in \({\mathbb{P}}^ 4)\)
• Inner projections of algebraic surfaces: a finiteness result.
• Surfaces of Degree 10 in the Projective Fourspace via Linear Systems and Linkage
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