SMOOTHNESS OF THE GENERAL ANTICANONICAL DIVISOR ON A FANO 3-FOLD

SMOOTHNESS OF THE GENERAL ANTICANONICAL DIVISOR ON A FANO 3-FOLD
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FANO 3 倍上广义反正则除数的平滑度

DOI:
10.1070/im1980v014n02abeh001123
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发表时间:
1980
期刊:
Mathematics of The Ussr-izvestiya
影响因子:
--
通讯作者:
V. Šokurov
V. Šokurov
中科院分区:
--
文献类型:
--
作者:
Udc;V. Šokurov

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证明了Fano 3重的广义反正则因子的光滑性。此外,对于线性系统,也得到了类似的结果,其中对于某个自然数。所得结果可用于研究Fano 3-folds的射影嵌入。
Smoothness of the general anticanonical divisor of a Fano 3-fold is proved. In addition, an analogous result is established for the linear system , where for some natural number . The results obtained in the paper can be used to investigate projective imbeddings of Fano 3-folds.Bibliography: 6 titles.