Vol. 177, No. 1, 1997

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On syzygies of projective varieties

S.P. Inamdar

Vol. 177 (1997), No. 1, 71–76
Abstract

In this article, we give a criterion for an embedding of a projective variety to be defined by quadratic equations and for it to have linear syzygies. Our criterion is intrinsic in nature and implies that embedding corresponding to a sufficiently high power of any ample line bundle will have linear syzygies up to a given order.

Milestones
Received: 16 February 1995
Revised: 31 October 1995
Published: 1 January 1997
Authors
S.P. Inamdar
School of Mathematics
Tata Institute of Fundamental Research
Homi Bhabha Road, Bombay 400 005
INDIA