Some remarks on surfaces in \(\mathbb {P}^4\) containing a family of plane curves

DOI10.1016/j.jpaa.2006.06.003zbMath1107.14027OpenAlexW1987316171MaRDI QIDQ869210

José Carlos Sierra, Andrea Luigi Tironi

Publication date: 26 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.jpaa.2006.06.003

Mathematics Subject Classification ID

Projective techniques in algebraic geometry (14N05) Low codimension problems in algebraic geometry (14M07) Special surfaces (14J25)

Related Items (3)

Surfaces containing a family of plane curves not forming a fibration ⋮ SMOOTH n-DIMENSIONAL SUBVARIETIES OF ℙ^2n-1 CONTAINING A FAMILY OF VERY DEGENERATE DIVISORS ⋮ Surfaces in \(\mathbb{P}^4\) with a family of plane curves

Cites Work

• An elliptic conic bundle in \(\mathbb{P}^4\) arising from a stable rank-3 vector bundle
• Varieties with many lines
• Threefolds in \(\mathbb{P}^ 5\) with a 3-dimensional family of plane curves
• Three-dimensional scrolls in \(\mathbb{P}^ 6\)
• Castelnuovo-Mumford regularity bound for smooth threefolds in P5 and extremal examples
• Conic bundles in projective fourspace
• Projective varieties with many degenerate subvarieties
• On Very Ample Vector Bundles on Curves
• A Simple Analytical Proof of a Fundamental Property of Birational Transformations
• Multiplicities of points on Schubert varieties in Grassmannians
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