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Global generation of adjoint bundles

Published online by Cambridge University Press:  22 January 2016

Hajime Tsuji
Hajime Tsuji*
Affiliation:
Department of Mathematics, Tokyo Institute of Technology 2-12-1 Ohokayama Megro Tokyo, 152, Japan
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In 1988, I. Reider proved that for a smooth projective surface X and an ample line bundle L on X, Kx + 3L is globally generated and Kx + 4L is very ample ([12]). In fact his theorem is much stronger than this (see [12] for detail). Recently a lot of results have been obtained about effective base point freeness (cf. [1, 3, 8, 13, 14, 15]). In particular J. P. Demailly proved that 2KX + 12nnL is very ample for a smooth projective n-fold X and an ample line bundle L on X. [2] will give a good overview for these recent results. The motivation of these works is the following conjecture posed by T. Fujita.

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Type
Research Article
Information
Nagoya Mathematical Journal , Volume 142 , June 1996, pp. 5 - 16
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1996

References

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