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