A finiteness theorem for low-codimensional nonsingular subvarieties of quadrics

DOI10.1090/S0002-9947-97-01736-4zbMath0874.14045arXivalg-geom/9608020OpenAlexW2122029692MaRDI QIDQ4336569

Mark Andrea A. De Cataldo

Publication date: 13 May 1997

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/alg-geom/9608020

zbMATH Keywords

Grassmanniansquadricsfamilies of codimension two nonsingular subvarieties of projective spacenot of general type

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Projective techniques in algebraic geometry (14N05) Low codimension problems in algebraic geometry (14M07)

Related Items (5)

BOUNDEDNESS FOR CODIMENSION TWO SUBVARIETIES ⋮ The genus of curves on the three dimensional quadric ⋮ Canonical map of low codimensional subvarieties ⋮ EVIDENCE TO SUBCANONICITY OF CODIMENSION TWO SUBVARIETIES OF 𝔾(1,4) ⋮ Boundedness for surfaces on smooth fourfolds

Cites Work

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• A sharp Castelnuovo bound for smooth surfaces
• Sur les surfaces lisses de \({\mathbb{P}}_ 4\). (On the smooth surfaces of \({\mathbb{P}}_ 4)\)
• A Barth-type theorem for branched coverings of projective space
• The adjunction theory of complex projective varieties
• BOUNDEDNESS OF LOW-CODIMENSIONAL SUBMANIFOLDS OF PROJECTIVE SPACE
• On congruences of lines in the projective space (Chapter 6 written in collaboration with M. Pedreira)
• Differential-geometric methods for the lifting problem and linear systems on plane curves

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