The gamma-construction and permanence properties of the (relative) F-rational signature
Shiji Lyu · Journal of Algebra · 2024
We study some permanence properties of the relative F -rational signature defined and studied by Smirnov–Tucker. We show that this invariant is compatible with the gamma-construction, and then derive other main results from the F -finite case established by Smirnov–Tucker. These results can be seen as quantitative versions of results on F -rationality of Vélez. We also obtain limited results about the F -rational signature defined and studied by Hochster–Yao. We explore some features of the gamma-construction along the way, which may be of independent interest.