THE LOCAL TORELLI THEOREM FOR VARIETIES WITH DIVISIBLE CANONICAL CLASS

THE LOCAL TORELLI THEOREM FOR VARIETIES WITH DIVISIBLE CANONICAL CLASS
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具有可整除正则类的品种的局部 TORELLI 定理

DOI:
10.1070/im1978v012n01abeh001840
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发表时间:
1978
期刊:
Mathematics of The Ussr-izvestiya
影响因子:
--
通讯作者:
K. Kii
K. Kii
中科院分区:
--
文献类型:
--
作者:
K. Kii

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本文证明了具有可分正则类的若干变种的局部Torelli定理:具有椭圆曲线和基族的曲面,基为曲线的变种的纤维,完全相交,循环覆盖,和不变量满足一定条件的0$ SRC=http://ej.iop.org/images/0025-5726/12/1/A03/tex_im_1840_img4.gif/>的曲面。参考书目:7篇。
In this paper the local Torelli theorem is proved for a number of varieties with divisible canonical class: surfaces with a family of elliptic curves and base , fiberings by varieties with whose base is a curve, complete intersections, cyclic coverings, and surfaces with 0$ SRC=http://ej.iop.org/images/0025-5726/12/1/A03/tex_im_1840_img4.gif/>, and , whose invariants satisfy certain conditions.Bibliography: 7 titles.