On smooth surfaces in Gr\((1,\mathbb{P}^ 3)\) with a fundamental curve

DOI10.1007/BF02568346zbMath0803.14019OpenAlexW2062270803MaRDI QIDQ1313511

Mark Gross, Enrique Arrondo

Publication date: 15 December 1994

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155842

zbMATH Keywords

congruence of linesfundamental curve

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Special surfaces (14J25)

Cites Work

• Smooth surfaces of degree 9 in G(1,3)
• The distribution of bidegrees of smooth surfaces in \(Gr(1,\mathbb{P}^ 3)\)
• Geometry on Grassmannians and applications to splitting bundles and smoothing cycles
• Nondegenerate surfaces of degree n+3 in PnC.
• On congruences of lines in the projective space (Chapter 6 written in collaboration with M. Pedreira)
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