Brendan Hassett
Published 2016-01-21Version 1
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.
Comments: 36 pages, prepared for the June 2015 CIME-CIRM Course on Rationality Problems in Algebraic Geometry
Unirationality of moduli spaces of special cubic fourfolds and K3 surfaces
A note on special cubic fourfolds of discriminant 14 and non-minimal K3 surfaces of degree 10
A classification of terminal quartic 3-folds and applications to rationality questions
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