Abstract
The Hodge numbers of a smooth projective algebraic variety are very useful invariants. By Hodge theory, these determine the Betti numbers. In this chapter, we turn to the practical matter of actually computing these for a number of examples such as projective spaces, hypersurfaces, and double covers. The GAGA theorem, Theorem 16.4.1, allows us to do this by working in the algebraic setting, where we may employ some of the tools developed in the earlier chapters.
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© 2012 Springer Science+Business Media, LLC
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Arapura, D. (2012). Computation of Some Hodge Numbers. In: Algebraic Geometry over the Complex Numbers. Universitext. Springer, Boston, MA. https://doi.org/10.1007/978-1-4614-1809-2_17
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DOI: https://doi.org/10.1007/978-1-4614-1809-2_17
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Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4614-1808-5
Online ISBN: 978-1-4614-1809-2
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