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arxiv: 1506.04372 · v1 · pith:LSZCFNGCnew · submitted 2015-06-14 · 🧮 math.AG

A note on k-very ampleness of line bundles on general blow-ups of hyperelliptic surfaces

classification 🧮 math.AG
keywords hyperellipticlinepointsamplenessblow-upsbundlesgeneralk-very
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We study k-very ampleness of line bundles on blow-ups of hyperelliptic surfaces at r very general points. We obtain a numerical condition on the number of points for which a line bundle on the blow-up of a hyperelliptic surface at these r points gives an embedding of order k.

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