REVIEW 1 cited by
The integral Hodge conjecture for two-dimensional Calabi-Yau categories
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
Signed reviews
read the original abstract
We formulate a version of the integral Hodge conjecture for categories, prove the conjecture for two-dimensional Calabi-Yau categories which are suitably deformation equivalent to the derived category of a K3 or abelian surface, and use this to deduce cases of the usual integral Hodge conjecture for varieties. Along the way, we prove a version of the variational integral Hodge conjecture for families of two-dimensional Calabi-Yau categories, as well as a general smoothness result for relative moduli spaces of objects in such families. Our machinery also has applications to the structure of intermediate Jacobians, such as a criterion in terms of derived categories for when they split as a sum of Jacobians of curves.
Forward citations
Cited by 1 Pith paper
-
A note on geometry of Bridgeland Moduli spaces on Gushel-Mukai threefolds
For general Gushel-Mukai threefolds, Bridgeland moduli spaces on the Kuznetsov component are normal, and for primitive numerical classes of odd square they are irreducible.
Discussion (0). Continue with ORCID to comment.