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| 6-CANONICAL MAPS OF NONSINGULAR MINIMAL 3-FOLDS |
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Citation： |
Chen Meng.6-CANONICAL MAPS OF NONSINGULAR MINIMAL 3-FOLDS[J].Chinese Annals of Mathematics B,1995,16(2):163~170 |
| Page view： 1001
Net amount： 762 |
Authors： |
Chen Meng; |
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| Abstract： |
The aim of this paper is to study 6-canonical system of a nonsingular minimal
3-fold $X.$ If $\vert 2K_X\vert$ is not composed of pencils, it is shown that
$\Phi_{\vert 6K_X\vert}$ is birational with possible exceptions for:
$$(K_X^3,\chi({\Cal O}_X),p_g(X))=(2,-1,0)\ \ \roman{or}
\ \ (2,-1,1) \ \ \roman{or}\ \ (4,-1,0)
\ \ \roman{or}\ \ (4,-1,1).$$ |
Keywords： |
Canonical map, Nonsingular minimal 3-fold,Birational map. |
Classification： |
14E05, 14J30. |
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