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A new Castelnuovo bound for codimension three subvarieties

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Publication:412018
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DOI10.1007/s00013-012-0360-8zbMath1238.14034OpenAlexW2096217846MaRDI QIDQ412018

Alberto Alzati

Publication date: 3 May 2012

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-012-0360-8


zbMATH Keywords

projective varieties\(k\)-normality


Mathematics Subject Classification ID

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


Related Items (1)

Unobstructedness of filling secants and the Gruson-Peskine general projection theorem



Cites Work

  • Unnamed Item
  • On a theorem of Castelnuovo, and the equations defining space curves
  • A sharp Castelnuovo bound for smooth surfaces
  • The (dimension \(+2\))-secant lemma
  • Local differential geometry and generic projections of threefolds
  • On the smooth locus of aligned Hilbert schemes, the \(k\)-secant lemma and the general projection theorem
  • Fibers of generic projections
  • A New Castelnuovo Bound for Two Codimensional Subvarieties of ℙ r
  • What can be computed in algebraic geometry?




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