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Results tagged with hodge-theory
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user 4096
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.
2
votes
1
answer
229
views
Non-uniruled variety with level one Hodge structure.
I wonder if there exists one example of non-uniruled algebraic variety with level one Hodge structure.
- 3,779
1
vote
0
answers
602
views
lefschetz hyperplane theorem in positive characteristic
The proof of the Lefschetz Hyperplane theorem over $\mathbb{C}$ is well-known, and relies on Hodge theory in an important way. Does there exist an analogue of this theorem in positive characteristic, …
- 3,779
3
votes
1
answer
405
views
octic K3s inside cubic 4-folds
From the Thesis of B.Hassett I seem to understand that a smooth cubic 4-fold $X$ containing a $\mathbb{P}^2$ should contain also a octic K3, but I cannot see a natural way by which this K3 octic could …
- 3,779