REVIEW 2 cited by
Hodge symmetry and Lefschetz theorems for singular varieties
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
We prove new results concerning the topology and Hodge theory of singular varieties. A common theme is that concrete conditions on the complexity of the singularities, from a number of different perspectives, are closely related to the symmetries of the Hodge-Du Bois diamond. We relate this to the theory of rational homology manifolds, and characterize these among low-dimensional varieties with rational singularities.
Forward citations
Cited by 2 Pith papers
-
Negative $K$-theory and Hodge theory
Negative K-groups of complex varieties are analyzed via mixed Hodge theory, higher singularities, Chow groups, and the Minimal Model Program.
-
Lefschetz morphisms on singular cohomology and local cohomological dimension of toric varieties
The local cohomological defect of an affine toric variety is characterized by Lefschetz cup-product maps on a projective toric variety of one dimension lower, which shows it is not a combinatorial invariant and allows...
Discussion (0). Continue with ORCID to comment.