Point Objects on Abelian 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

arxiv 2209.05553 v1 pith:OKZVX6BV submitted 2022-09-12 math.AG

Aise Johan de Jong , Martin Olsson This is my paper · ORCID

classification math.AG

keywords abelianobjectspointcategorycharacteristicclassifyderivedfield

verification ladder T0 review T1 audit T2 compute T3 formal

0 comments

abstract

We classify the point objects in the derived category $D(X)$ of a torsor under an abelian variety over a field of characteristic $0$.

Forward citations

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

Semi-Homogeneous Sheaves and Twisted Derived Categories
math.AG 2024-11 conditional novelty 6.0 of 10

A torsor under an abelian variety is twisted derived equivalent to another smooth variety exactly when that variety is a moduli space of simple semi-homogeneous sheaves on the torsor, with the universal obstruction as...