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Results tagged with hodge-theory
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user 22247
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.
1
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0
answers
392
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Cattani-Deligne-Kaplan Cattani-Deligne-Kaplan for non-integral cycles
Can one can omit the integrality condition in the Cattani-Deligne-Kaplan theorem?
That is, in Corollary 1.2 in the Cattani-Deligne-Kaplan paper, is the condition "$u\in V_s$ is integral" in "$u\in V_s …
- 468
5
votes
1
answer
680
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comparing Hodge structures on cohomology of conjugate varieties
What can one say about the relation between the Hodge decompositions
of $H^\*(X,C)$ and $H^{*}(X_\sigma,C)$
for a complex algebraic smooth projective variety $X$ and $\sigma$ an automorphism
of the f …
- 468