The gamma-construction and permanence properties of the (relative) $F$-rational signature
Abstract
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. 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.
- Publication:
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arXiv e-prints
- Pub Date:
- October 2022
- DOI:
- 10.48550/arXiv.2210.08581
- arXiv:
- arXiv:2210.08581
- Bibcode:
- 2022arXiv221008581L
- Keywords:
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- Mathematics - Commutative Algebra
- E-Print:
- 17 pages