Cubic Fourfolds, K3 Surfaces, and Rationality Questions

Cubic Fourfolds, K3 Surfaces, and Rationality Questions
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DOI:
10.1007/978-3-319-46209-7_2
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发表时间:
2016-01
期刊:
arXiv: Algebraic Geometry
影响因子:
--
通讯作者:
B. Hassett
B. Hassett
中科院分区:
其他
文献类型:
--
作者:
B. Hassett

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这是一个调查的几何复杂的三次四倍,以期对合理性问题。主题包括合理的例子,霍奇结构和特殊的三次fourfolds,相关的K3表面和它们的几何解释,并与合理性和unirationality建设的经典建设。
This is a survey of the geometry of complex cubic fourfolds with a view toward rationality questions. Topics include classical constructions of rational examples, Hodge structures and special cubic fourfolds, associated K3 surfaces and their geometric interpretations, and connections with rationality and unirationality constructions.