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On tensor products of -very ample line bundles
Authors:Yukitoshi Hinohara  Kazuyoshi Takahashi  Hiroyuki Terakawa
Institution:Department of Mathematics, School of Education, Waseda University, 1-6-1 Nishi-Waseda Shinjuku-ku, Tokyo 169-8050, Japan ; Department of Mathematics, School of Education, Waseda University, 1-6-1 Nishi-Waseda Shinjuku-ku, Tokyo 169-8050, Japan ; Tsuru University, 3-8-1 Tahara Tsuru-shi, Yamanashi 402-8555, Japan
Abstract:In this paper, we show that the tensor product of $a$-very ample and $b$-very ample line bundles on a complete algebraic variety is $(a+b)$-very ample.

Keywords:$k$-very ampleness  tensor product  $0$-dimensional scheme  socle
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