Let V be the complete intersection of smooth, generic quadric and cubic hypersurfaces in ℙ5(ℂ). V is a non rational Fano threefold. It is interesting to study the rationality of V when it contains n planes. This problem has been solved when the planes meet two by two in one point only. We consider and solve all remaining cases.
On the problem of rationality for some cubic complexes / A. Alzati, M. Bertolini. - In: INDAGATIONES MATHEMATICAE. - ISSN 0019-3577. - 91:4(1988), pp. 349-364.
On the problem of rationality for some cubic complexes
A. AlzatiPrimo
;M. BertoliniUltimo
1988
Abstract
Let V be the complete intersection of smooth, generic quadric and cubic hypersurfaces in ℙ5(ℂ). V is a non rational Fano threefold. It is interesting to study the rationality of V when it contains n planes. This problem has been solved when the planes meet two by two in one point only. We consider and solve all remaining cases.
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