A strange example concerning Property N_p

Mathematics – Algebraic Geometry

Scientific paper

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3 pages, latex

Scientific paper

We exhibit an example of a line bundle M on a smooth complex projective
variety Y s.t. M satisfy Property N_p for some p, the p-module of a minimal
resolution of the ideal of the embedding of Y by M is nonzero and M^2 does not
satisfy Property N_p.

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