Some aspects of the Hodge conjecture
Some aspects of the Hodge conjecture
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DOI：
10.1007/s11537-007-0639-x
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发表时间：
2007-09
影响因子：
1.5
通讯作者：
C. Voisin
中科院分区：
文献类型：
--
作者：
C. Voisin
我将讨论霍奇猜想的正负结果。消极方面一方面来自对积分Hodge类的Hodge猜想的研究，另一方面来自对该猜想可能扩展到一般Kähler设置的研究。正方面来自代数几何。它们涉及所谓的霍奇类位点和霍奇位点的结构。
I will discuss positive and negative results on the Hodge conjecture. The negative aspects come on one side from the study of the Hodge conjecture for integral Hodge classes, and on the other side from the study of possible extensions of the conjecture to the general Kähler setting. The positive aspects come from algebraic geometry. They concern the structure of the so-called locus of Hodge classes, and of the Hodge loci.