### On the Hilbert scheme of Palatini threefolds.

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The structure of 3-folds in P which are generally linked via a complete intersection (f,f,f) to 3-folds in P of degree d ≤ 5 is determined. We also give three new examples of smooth 3-folds in P 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 P of degree 7: (i) the hyperquadric fibration over P and (ii) the scroll over P. The third example is Pfaffian linked to a 3-dimensional quadric in P.

It is proved that there are only finitely many families of codimension two subvarieties not of general type in Q6.

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