Abstract
Mixed Hodge theory has many applications to singularity theory. For instance, we show in §12.1 that the cohomology of the Milnor fibre admits a mixed Hodge structure and we give applications to the spectrum. Here the full force of our geometric approach becomes clear since, in contrast to Schmid's theory, we can localize around a singularity. In §12.2 we explain Grothendieck's induction principle, the proof of which uses variations of Hodge structures.
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© 2008 Springer-Verlag Berlin Heidelberg
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(2008). Applications of Asymptotic Hodge Theory. In: Mixed Hodge Structures. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, vol 52. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77017-6_13
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DOI: https://doi.org/10.1007/978-3-540-77017-6_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-77015-2
Online ISBN: 978-3-540-77017-6
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