Degenerations of k3 Surfaces and Enriques Surfaces

Degenerations of k3 Surfaces and Enriques Surfaces
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k3 曲面和 Enriques 曲面的退化

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发表时间:
1977
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通讯作者:
V. Kulikov
V. Kulikov
中科院分区:
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文献类型:
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作者:
V. Kulikov

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本文研究了K3曲面(m = 1)和Enriques曲面(m = 2)的好(半稳定)退化.在m-正则类平凡的条件下,我们得到了这类退化的分类。我们表明,对于每一个良好的退化存在一个修改满足这个条件。
In this paper we study good (semistable) degenerations of K3 surfaces (m = 1) and Enriques surfaces (m = 2). We obtain a classification of such degenerations under the condition that the m-canonical class is trivial. We show that for each good degeneration there exists a modification satisfying this condition.Bibliography: 14 titles.