The Kaehler cone of a compact hyperkaehler manifold
The Kaehler cone of a compact hyperkaehler manifold
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紧凑型超凯勒流形的凯勒锥体
DOI：
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发表时间：
1999
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通讯作者：
D. Huybrechts
中科院分区：
文献类型：
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作者：
D. Huybrechts
这是一个尝试对理解的（双有理）Kaehler锥的一个紧凑的hyperkaehler流形方面的Beauville-Bogomolov形式的第二上同调。讨论了超kaehler流形之间的双有理对应及其对上同调的影响。许多结果是不确定的，因为它们依赖于本文的前身中所包含的紧致超凯勒流形的投射性准则，但其中出现了一个严重的错误。在第6节中给出了一个勘误表，在第7节中提出了一种挽救该方法的方法。
This is an attempt towards the understanding of the (birational) Kaehler cone of a compact hyperkaehler manifold in terms of the Beauville-Bogomolov form on its second cohomology. We discuss birational correspondences between hyperkaehler manifolds and their effects on the cohomology. Many of the results are conjectural in as much as they depend on a projectivity criterion for compact hyperkaehler manifolds contained in this paper's predecessor, but in which a serious mistake has oocured. An erratum is given in Sect. 6 and a way to rescue the approach is proposed in Sect. 7.