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- W4313448377 abstract "We compute and compare the (intersection) cohomology of various natural geometric compactifications of the moduli space of cubic threefolds: the GIT compactification and its Kirwan blowup, as well as the Baily-Borel and toroidal compactifications of the ball quotient model, due to Allcock-Carlson-Toledo. Our starting point is Kirwan's method. We then follow by investigating the behavior of the cohomology under the birational maps relating the various models, using the decomposition theorem in different ways, and via a detailed study of the boundary of the ball quotient model. As an easy illustration of our methods, the simpler case of the moduli of cubic surfaces is discussed in an appendix." @default.
- W4313448377 created "2023-01-06" @default.
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- W4313448377 date "2019-04-18" @default.
- W4313448377 modified "2023-10-05" @default.
- W4313448377 title "Cohomology of the moduli space of cubic threefolds and its smooth models" @default.
- W4313448377 doi "https://doi.org/10.48550/arxiv.1904.08728" @default.
- W4313448377 hasPublicationYear "2019" @default.
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