Pith. sign in

REVIEW 1 cited by

Forms on Berkovich spaces based on harmonic tropicalizations

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

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

arxiv 2111.05741 v3 pith:VBYM7VGU submitted 2021-11-10 math.AG math.NT

Walter Gubler , Philipp Jell , Joseph Rabinoff This is my paper · ORCID
classification math.AGmath.NT
keywords formsharmonicspacesberkovichdifferentialducrosmapstropical
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We introduce tropical skeletons for Berkovich spaces based on results of Ducros. Then we study harmonic functions on good strictly analytic spaces over a non-trivially valued non-Archimedean field. Chambert-Loir and Ducros introduced bigraded sheaves of smooth real-valued differential forms on Berkovich spaces by pulling back Lagerberg forms with respect to tropicalization maps. We give a new approach in which we allow pullback by more general harmonic tropicalizations to get a larger sheaf of differential forms with essentially the same properties, but with a better cohomological behavior. A crucial ingredient is that tropical varieties arising from harmonic tropicalization maps are balanced.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Tropicalization of $\psi$ classes

    math.AG 2024-12 accept novelty 7.0 of 10

    Tropical psi classes are shown to be the tropicalization of algebraic psi classes for families that are tropicalizable and have enough affine functions near the section.

Pith tools