Coherence of absolute integral closures

Shravan Patankar

doi:10.1090/bproc/121

journal article Open Access Mar 29, 2022

Coherence of absolute integral closures

Shravan Patankar

Proceedings of the American Mathematical Society, Series B Vol. 9 No. 9 pp. 75-89 · American Mathematical Society (AMS)

View at Publisher Save 10.1090/bproc/121

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

.

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Details

Published: Mar 29, 2022
Vol/Issue: 9(9)
Pages: 75-89
License: View

Authors

S

Shravan Patankar

Cite This Article

Shravan Patankar (2022). Coherence of absolute integral closures. Proceedings of the American Mathematical Society, Series B, 9(9), 75-89. https://doi.org/10.1090/bproc/121

Coherence of absolute integral closures

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