BOUNDEDNESS FOR CODIMENSION TWO SUBVARIETIES

DOI10.1142/S0129167X02001332zbMath1057.14010MaRDI QIDQ4807408

Vincenzo Di Gennaro, Ciro Ciliberto

Publication date: 18 May 2003

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

geometric genusHilbert schemeNéron-Severi groupcomplex projective varietyarithmetic genusalgebraic homology classCastelnuovo-Halphen theorycodimension two subvariety not of general type

Mathematics Subject Classification ID

Parametrization (Chow and Hilbert schemes) (14C05) Families, moduli, classification: algebraic theory (14J10) Low codimension problems in algebraic geometry (14M07)

Related Items (2)

Canonical map of low codimensional subvarieties ⋮ EVIDENCE TO SUBCANONICITY OF CODIMENSION TWO SUBVARIETIES OF 𝔾(1,4)

Cites Work

• On a conjecture of Clemens on rational curves on hypersurfaces
• Positive polynomials for ample vector bundles
• Subvarieties of generic complete intersections
• Sur les surfaces lisses de \({\mathbb{P}}_ 4\). (On the smooth surfaces of \({\mathbb{P}}_ 4)\)
• The genus of projective curves
• Generalized Castelnuovo varieties
• A note on smooth surfaces in \(\mathbb{P}^4\)
• Non-general type surfaces in \(\mathbb{P}^4\): Some remarks on bounds and constructions
• A bound on the geometric genus of projective varieties verifying certain flag conditions
• BOUNDEDNESS OF LOW-CODIMENSIONAL SUBMANIFOLDS OF PROJECTIVE SPACE
• A finiteness theorem for low-codimensional nonsingular subvarieties of quadrics

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