Boundedness for Threefolds in P6 Containing a Smooth Ruled Surface as Hyperplane Section

  • Pietro Sabatino
Palabras clave: threefolds, low codimensional subvarieties, ruled surface as hyperplane section, bounded degree,

Resumen

Let X _ P6 be a smooth irreducible projective threefold, and d its degree. In this paper we prove that there exists a constant _ such that for all X containing a smooth ruled surface as hyperplane section and not contained in a fourfold of degree less than or equal to 15, d _ _. Under some more restrictive hypothesis we prove an analogous result for threefolds containing a smooth ruled surface as hyperplane section and contained in a fourfold of degree less than or equal to 15.

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Publicado
2005-09-27
Cómo citar
Sabatino P. (2005). Boundedness for Threefolds in P6 Containing a Smooth Ruled Surface as Hyperplane Section. Revista Matemática Complutense, 18(2), 363-375. https://doi.org/10.5209/rev_REMA.2005.v18.n2.16680
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