Decomposition of normal bundle of smooth surfaces of \(\mathbb{P}_ 4\) and double structures on solids in \(\mathbb{P}_ 5\)

DOI10.1215/S0012-7094-93-06904-9zbMath0798.14028OpenAlexW1573667140MaRDI QIDQ1210435

Christian Peskine, Bénédicte Basili

Publication date: 3 November 1994

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-93-06904-9

zbMATH Keywords

double structurethreefoldcodimension two subvarietiescharacterizing complete intersectionssplitting of the normal bundle

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) (3)-folds (14J30) Complete intersections (14M10) Projective techniques in algebraic geometry (14N05) Low codimension problems in algebraic geometry (14M07)

Related Items (6)

On the normal sheaf of determinantal varieties ⋮ Cremona transformations and special double structures ⋮ Representation type of rational ACM surfaces \(X\subseteq\mathbb{P}^4\) ⋮ Higher codimensional foliations with Kupka singularities ⋮ On the normal bundle of Cartier divisors on projective varieties ⋮ On the normal bundle of submanifolds of $\mathbb P^n$

Cites Work

• On the normal bundle of curves on smooth projective surfaces
• On the topology of complex projective manifolds
• Transplanting Cohomology Classes in Complex-Projective Space
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