On Douglas' conjecture for $m$-Kronecker quivers

We prove Douglas' conjecture for $m$-Kronecker quivers for each $m \geq 3$ on the normalized logarithms of Euler characteristics of moduli spaces. Also, we state a log-concavity conjecture on Euler characteristics near slope one for the 3-Kronecker quiver.

Authors

Publication Details

Journal
arXiv (Cornell University)
Published
2026-11-03
DOI
https://doi.org/10.48550/arxiv.2611.04862
Primary Topic
Algebraic structures and combinatorial models
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

On Douglas' conjecture for $m$-Kronecker quivers

So Okada
arXiv (Cornell University)
Algebraic structures and combinatorial models
preprint

On Douglas' conjecture for $m$-Kronecker quivers

So Okada
preprint en

Abstract

We prove Douglas' conjecture for $m$-Kronecker quivers for each $m \geq 3$ on the normalized logarithms of Euler characteristics of moduli spaces. Also, we state a log-concavity conjecture on Euler characteristics near slope one for the 3-Kronecker quiver.

arXiv (Cornell University)
Algebraic structures and combinatorial models
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Laika access coming soon
On Douglas' conjecture for $m$-Kronecker quivers — So Okada · arXiv (Cornell University) (2026) | TGRS Research Map | TGRS