REVIEW 1 cited by
Cohomology of finite subgroups of the plane Cremona group
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
An equivariant stable birational invariant of an action of a finite group on a smooth projective variety is the first cohomology group of the Picard module. Bogomolov-Prokhorov and Shinder computed this for actions of cyclic groups on rational surfaces, with maximal stabilizers, in terms of the geometry of the fixed point locus. Using the Brauer group of the quotient stack, we extend the computation to more general actions and relate it to the equivariant Burnside group formalism.
Forward citations
Cited by 1 Pith paper
-
Equivariant unirationality of toric varieties
For smooth projective toric varieties with a finite group action preserving the dense torus, equivariant unirationality is equivalent to the vanishing of the equivariant universal torsor obstruction class ∂(1_Pic(X)).
Discussion (0). Continue with ORCID to comment.