On the structure of linked 3-folds

Autores: Maria Lucia Fania, Aldo Biancofiore
Localización: Revista matemática complutense, ISSN-e 1988-2807, ISSN 1139-1138, Vol. 14, Nº 1, 2001, págs. 17-44
Idioma: inglés
DOI: 10.5209/rev_rema.2001.v14.n1.17033
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Resumen
- 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.