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Hilbert-Kunz functions over rings regular in codimension one | | C.-Y. Jean Chan
; Kazuhiko Kurano
; | | Date: |
22 Jan 2013 | | Abstract: | The main aim of this manuscript is to discuss the Hilbert-Kunz functions of
modules over an excellent local ring regular in codimension one and prove that
the Hilbert-Kunz functions stabilize up to the second highest term in a
polynomial form. Our results extend that of Huneke, McDermott and Monsky (Math.
Res. Lett. 11 (2004), no. 4, 539-546) and that of the second author (J. Algebra
304 (2006), no. 1, 487-499). An additive error of the Hilbert-Kunz function on
a short exact sequence is also considered and estimated. In an appendix, we
revisit the beautiful proof in the paper of Huneke, McDermott and Monsky
mentioned above and show that its arguments can be extended to rings with
weaker condition using rational equivalence. | | Source: | arXiv, 1301.5278 | | Services: | Forum | Review | PDF | Favorites | |
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