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Cubic fourfolds, K3 surfaces, and rationality questions

Research paper by Brendan Hassett

Indexed on: 16 Jul '16Published on: 16 Jul '16Published in: Mathematics - Algebraic Geometry



Abstract

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.