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Results tagged with hodge-theory
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user 12325
The study of harmonic differential forms on complex projective varieties, their invariantly defined filtrations, their integrals over topological cycles, especially over subvarieties, the deformations of these integrals and filtrations in families, and a multitude of generalizations.
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Hodge decomposition in Betti cohomology
The broad, generic and badly posed question may be formulated in this way:
Let $X$ be a compact Kälher manifold (or even a projective one). If one considers the Hodge decomposition $H^k(X, \mathbb{C} …
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