Threefolds of the Klein quadric and trisecant lines

DOI10.1007/BF01237470zbMath0966.14026OpenAlexW2077441942MaRDI QIDQ1841855

Edoardo Ballico, Antonio Cossidente

Publication date: 19 July 2001

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01237470

zbMATH Keywords

Klein quadricgeneralized trisecanttrue trisecant

Mathematics Subject Classification ID

Questions of classical algebraic geometry (51N35) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) (3)-folds (14J30)

Cites Work

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• On a set of lines of \(PG(3,q)\) corresponding to a maximal cap contained in the Klein quadric of \(PG(5,q)\).
• On caps and cap partitions of Galois projective spaces
• Surfaces in \(\mathbb{P}^5\) which do not admit trisecants
• On the largest caps contained in the Klein quadric of \(PG(5,q)\), \(q\) odd
• Caps embedded in Grassmannians
• Caps embedded in the Klein quadric

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