Pith. sign in

REVIEW 1 cited by

On generated coherent systems and a conjecture of D. C. Butler

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 1711.04815 v1 pith:DEWY6XYU submitted 2017-11-13 math.AG

L. Brambila-Paz , O. Mata-Gutierrez , P. E. Newstead , Angela Ortega This is my paper · ORCID
classification math.AG
keywords butlercoherentconjecturegeneratedgeneralresultssemistabilitysystems
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

Let $(E,V)$ be a general generated coherent system of type $(n,d,n+m)$ on a general non-singular irreducible complex projective curve. A conjecture of D. C. Butler relates the semistability of $E$ to the semistability of the kernel of the evaluation map $V\otimes \mathcal{O}_X\to E$. The aim of this paper is to obtain results on the existence of generated coherent systems and use them to prove Butler's Conjecture in some cases. The strongest results are obtained for type $(2,d,4)$, which is the first previously unknown case.

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. Derived category of coherent systems on curves and stability conditions

    math.AG 2025-11 conditional novelty 8.0 of 10

    For a smooth curve C, an open locus of Bridgeland stability conditions on coherent systems is classified as gluing or tilting, with boundary governed by the Brill-Noether function.

Pith tools