PreprintarXiv licencearXiv
On Douglas' conjecture for m-Kronecker quivers
Abstract
We prove Douglas' conjecture for m-Kronecker quivers for each m ≥ 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.
Related
- Elementary modules of the generalized Kronecker quivers K(n)
- The Geometric Arveson-Douglas Conjecture through Veronese Embeddings
- Transfer of similarity to Hilbert space contractions through inner functions: a proof of Douglas's conjecture
- Closed formula for Kronecker structure constants of a molecular basis of homogeneous symmetric functions
- Extreme values of Euler-Kronecker constants of abelian cubic fields
BibTeX
@misc{okada2026douglas,
title = {{On Douglas' conjecture for $m$-Kronecker quivers}},
author = {So Okada},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.04862},
eprint = {2611.04862},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.04862},
}
RIS
TY - UNPB
TI - On Douglas' conjecture for m-Kronecker quivers
AU - So Okada
PY - 2026
DA - 2026/11/03
PB - arXiv
DO - 10.48550/arxiv.2611.04862
UR - https://arxiv.org/abs/2611.04862
AB - We prove Douglas' conjecture for m-Kronecker quivers for each m ≥ 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.
ER -