New simple proofs are given for the classification theorems of projective k-folds X (k \leq 6) with defect \delta > 0 and those whith \delta = 1 and K_X \otimes O_X(5) spanned are classified. The section of th 10-dimensional spinor variety of P^{15} by three general hyperplanes and Grassmann fibrations over a smooth curve belong to this last class.
Projective 7-folds with positive defect / A. Lanteri, D. Struppa. - In: COMPOSITIO MATHEMATICA. - ISSN 0010-437X. - 61:(1987), pp. 329-337.
Projective 7-folds with positive defect
A. LanteriPrimo
;
1987
Abstract
New simple proofs are given for the classification theorems of projective k-folds X (k \leq 6) with defect \delta > 0 and those whith \delta = 1 and K_X \otimes O_X(5) spanned are classified. The section of th 10-dimensional spinor variety of P^{15} by three general hyperplanes and Grassmann fibrations over a smooth curve belong to this last class.
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