Trace does not preserve Reflexivity
arXiv:2509.12576
Abstract
In this note, we address a question raised in a recent work by Dao-Maitra-Sridhar, regarding the preservation of reflexivity under taking trace. We answer this question negatively. We also study a few cases where the question has a positive answer in a one dimensional, analytically unramified Cohen-Macaulay local ring.
Written as part of an REU funded by the department of Mathematics at the University of Utah in Spring 2025. Comments are welcome!