Vol. 143, No. 1, 1990

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Deforming varieties of k-planes of projective complete intersections

Ciprian Borcea

Vol. 143 (1990), No. 1, 25–36
Abstract

We consider the variety F of k-dimensional linear projective subspaces lying on a generic projective complete intersection S. Under general assumptions involving k, the multidegree and the dimension of S, we prove that F is connected, smooth, and its local deformations come from deformations of S.

Mathematical Subject Classification 2000
Primary: 14J40
Secondary: 14D99, 14M10
Milestones
Received: 12 July 1988
Published: 1 May 1990
Authors
Ciprian Borcea