A note on smooth surfaces in \(\mathbb{P}^4\)

DOI10.1023/A:1005013128765zbMath0930.14001OpenAlexW108204315MaRDI QIDQ1392735

Vincenzo Di Gennaro

Publication date: 5 May 1999

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1005013128765

zbMATH Keywords

Hilbert schemeCastelnuovo's theoryEnriques' classificationsurfaces in \(\mathbb{P}^4\)

Mathematics Subject Classification ID

Parametrization (Chow and Hilbert schemes) (14C05) Surfaces and higher-dimensional varieties (14J99) Surfaces of general type (14J29) Projective techniques in algebraic geometry (14N05) Low codimension problems in algebraic geometry (14M07)

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A lower bound for \(\chi (\mathcal{O}_S)\) ⋮ BOUNDEDNESS FOR CODIMENSION TWO SUBVARIETIES ⋮ A lower bound for \(K^2_S\) ⋮ Boundedness for surfaces on smooth fourfolds

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