Full paper in PDF:
$%A. Biancofiore and M. L. Fania, On the structure of linked 3-folds, Rev. Mat. Complut. 14 (2001), no. 1, 17–45. %$

The structure of 3-folds in ⁶ which are generally linked via a complete intersection (f₁,f₂,f₃) to 3-folds in ⁶ of degree d < 5 is determined.

We also give three new examples of smooth 3-folds in ⁶ 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 ⁶ of degree 7: (i) the hyperquadric fibration over ¹ and (ii) the scroll over ². The third example is Pfaffian linked to a 3-dimensional quadric in ⁶.

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