Coherence of absolute integral closures
Year: 2022
Type: article
Abstract: We prove that the absolute integral closure R + R^{+} of an equicharacteristic zero noetherian complete local domain R R is not coherent, provided dim ( R ) ≥ 2 \dim (R)\geq 2 . As a corollary, we give an elementary proof of the mixed characteristic version of the result due to Asgharzadeh and extend it to dimension 3 3 .
DOI: 10.1090/bproc/121
Author: Shravan Patankar
Institution: University of Illinois Chicago
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $750
OpenAlex ID: W3193029263