Projective 7-folds with Positive Defect

Document Type

Article

Publication Date

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 the 10-dimensional spinor variety of P^{15} by three general hyperplanes and Grassmann fibrations over a smooth curve belong to this last class.

Comments

This article was originally published in Compositio mathematica, volume 61, in year.

Peer Reviewed

1

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