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.
@article{urn:eudml:doc:44451,
title = {On the structure of linked 3-folds.},
journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
volume = {14},
year = {2001},
pages = {17-44},
zbl = {1072.14525},
mrnumber = {MR1851721},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44451}
}
Biancofiore, Aldo; Fania, Maria Lucia. On the structure of linked 3-folds.. Revista Matemática de la Universidad Complutense de Madrid, Tome 14 (2001) pp. 17-44. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44451/