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A proof of the Eisenbud-Huneke-Ulrich conjecture
Abstract
We prove the Eisenbud--Huneke--Ulrich conjecture on powers of m-primary ideals with partially linear minimal free resolutions in characteristic zero.
Related
- The Eisenbud-Huneke-Ulrich conjecture and bounds on minimal generators
- The recent counterexamples to the Eisenbud-Schreyer-Weyman Ulrich problem (2003) and to Hochster's small Cohen-Macaulay conjecture (1973): a survey, with a generalization to arbitrary dimension
- Smooth Counterexamples to the Eisenbud--Schreyer--Weyman Ulrich Existence Problem
- A Counterexample to the Huneke-Wiegand Conjecture
- A proof of the Stanley-Stembridge conjecture
BibTeX
@misc{yang2026proof,
title = {{A proof of the Eisenbud-Huneke-Ulrich conjecture}},
author = {Fuxiang Yang},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.25385},
eprint = {2609.25385},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.25385},
}
RIS
TY - UNPB
TI - A proof of the Eisenbud-Huneke-Ulrich conjecture
AU - Fuxiang Yang
PY - 2026
DA - 2026/09/21
PB - arXiv
DO - 10.48550/arxiv.2609.25385
UR - https://arxiv.org/abs/2609.25385
AB - We prove the Eisenbud--Huneke--Ulrich conjecture on powers of m-primary ideals with partially linear minimal free resolutions in characteristic zero.
ER -