# Boundedness for threefolds in P6 containing a smooth ruled surface as hyperplane section.

Revista Matemática Complutense (2005)

- Volume: 18, Issue: 2, page 363-375
- ISSN: 1139-1138

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topSabatino, Pietro. "Boundedness for threefolds in P6 containing a smooth ruled surface as hyperplane section.." Revista Matemática Complutense 18.2 (2005): 363-375. <http://eudml.org/doc/38173>.

@article{Sabatino2005,

abstract = {Let X ⊂ P6 be a smooth irreducible projective threefold, and d its degree. In this paper we prove that there exists a constant β 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 ≤ β. 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.},

author = {Sabatino, Pietro},

journal = {Revista Matemática Complutense},

keywords = {Geometría algebraica; 3-Variedades; Subvariedades; Superficies regladas; Intersección; Acotación; low codimensional subvarieties; ruled surface; hyperplane section; degree},

language = {eng},

number = {2},

pages = {363-375},

title = {Boundedness for threefolds in P6 containing a smooth ruled surface as hyperplane section.},

url = {http://eudml.org/doc/38173},

volume = {18},

year = {2005},

}

TY - JOUR

AU - Sabatino, Pietro

TI - Boundedness for threefolds in P6 containing a smooth ruled surface as hyperplane section.

JO - Revista Matemática Complutense

PY - 2005

VL - 18

IS - 2

SP - 363

EP - 375

AB - Let X ⊂ P6 be a smooth irreducible projective threefold, and d its degree. In this paper we prove that there exists a constant β 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 ≤ β. 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.

LA - eng

KW - Geometría algebraica; 3-Variedades; Subvariedades; Superficies regladas; Intersección; Acotación; low codimensional subvarieties; ruled surface; hyperplane section; degree

UR - http://eudml.org/doc/38173

ER -

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