Factoriality of Certain Threefolds Complete Intersection inP5with Ordinary Double Points

DOI10.1081/AGB-120037410zbMath1070.14044MaRDI QIDQ3158240

Vincenzo Di Gennaro, Ciro Ciliberto

Publication date: 21 January 2005

Published in: Communications in Algebra (Search for Journal in Brave)

zbMATH Keywords

Lefschetz theoremHodge theoryCastelnuovo-Halphen theory\(\mathbb{Q}\)-factoriality

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Singularities of surfaces or higher-dimensional varieties (14J17) Complete intersections (14M10) Picard groups (14C22)

Related Items (6)

Factorial hypersurfaces ⋮ Examples of factorial threefolds complete intersection in \({\mathbb{P}^5}\) with many singularities ⋮ A remark on the genus of curves in \(\mathbf{P}^4\) ⋮ A speciality theorem for curves in \(\mathbb P^5\) ⋮ On factoriality of threefolds with isolated singularities ⋮ NON-FACTORIAL NODAL COMPLETE INTERSECTION THREEFOLDS

Cites Work

• The genus of space curves
• The genus of curves in \(\mathbb{P}^ 4\) verifying certain flag conditions
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