Full paper in PDF:
$%A. Biancofiore and M. L. Fania, On the structure of linked 3-folds, Rev. Mat. Complut. 14 (2001), no. 1, 1745. %$

On the Structure of Linked 3-Folds
Aldo BIANCOFIORE and Maria Lucia FANIA
Dipartimento di Matematica
UniversitÓ degli Studi di L’Aquila
Via Vetoio Loc. Coppito
67100 L’Aquila — Italy

Received: June 9, 2000
Revised: October 26, 2000

ABSTRACT

The structure of 3-folds in P6 which are generally linked via a complete intersection (f1,f2,f3) to 3-folds in P6 of degree d < 5 is determined.

We also give three new examples of smooth 3-folds in P6 of degree 11 and genus 9. These examples are obtained via liaison. The first two are 3-folds linked via a complete intersection (2, 3, 3) to 3-folds in P6 of degree 7: (i) the hyperquadric fibration over P1 and (ii) the scroll over P2. The third example is Pfaffian linked to a 3-dimensional quadric in P6.

2000 Mathematics Subject Classification: 14J30, 14M06, 14M07, 14N25, 14N30.