REVIEW 1 cited by
The arithmetic Hodge index theorem for adelic line bundles II
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
This is the second paper of a series. It extends the results of the first paper from number fields to finitely generated fields, based on the recent theory of adelic line bundles of the same authors. We prove an arithmetic Hodge index theorem for these adelic line bundles, and apply the theorem to obtain a rigidity property of the sets of preperiodic points of polarizable algebraic dynamical systems over any field.
Forward citations
Cited by 1 Pith paper
-
A uniform Tits alternative for endomorphisms of the projective line
Finitely generated semigroups of endomorphisms of P1 over characteristic 0 that have exponential growth have uniform exponential growth, with diameter of independence at most 2 when a degree at least 2 map exists.
Discussion (0). Continue with ORCID to comment.