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A note on tensor products of ample line bundles on abelian varieties
Authors:Yoshiaki Fukuma
Institution:Department of Mathematics, Faculty of Science, Tokyo Institute of Technology, Oh-okayama, Meguro-ku, Tokyo 152-8551, Japan
Abstract:Let $(X,L)$ be a polarized abelian variety defined over the complex number field. Then we classify $(X,L)$ with $h^{0}(L)\geq 2$such that $(k+1)L$ is not $k$-jet ample nor $k$-very ample.

Keywords:Polarized abelian variety  $k$-jet ample  $k$-very ample
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