A note on rational surfaces in \(\mathbb{P}^4\)

DOI10.1016/S0022-4049(99)00133-4zbMath0971.14033OpenAlexW2150304745MaRDI QIDQ1582734

Philippe Ellia

Publication date: 7 November 2001

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(99)00133-4

zbMATH Keywords

ruled surfacesmooth rational surface in \(\mathbb{P}^4\)

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26)

Related Items (1)

Surfaces in \({\mathbb {P}^{4}}\) fibered in cubics

Cites Work

• Surfaces rationelles non-spéciales dans \({\mathbb{P}}^ 4\). (Non special rational surfaces in \({\mathbb{P}}^ 4)\)
• Sur les surfaces lisses de \({\mathbb{P}}_ 4\). (On the smooth surfaces of \({\mathbb{P}}_ 4)\)
• An elliptic conic bundle in \(\mathbb{P}^4\) arising from a stable rank-3 vector bundle
• Rational surfaces in \({\mathbb{P}}^4\) containing a plane curve
• Conic bundles in projective fourspace
• A smooth surface in P4 not of general type has degree at most 66
• An improved bound for the degree of smooth surfaces in P4 not of general type.
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