A note on k-jet ampleness on surfaces

Mathematics – Algebraic Geometry

Scientific paper

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11 pages in AMS-TeX

Scientific paper

We prove Reider type criterions for k-jet spannedness and k-jet ampleness of
adjoint bundles for surfaces with at most rational singularities. Moreover, we
prove that on smooth surfaces [n(n+4)/4]-very ampleness implies n-jet
ampleness.

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