We prove that the generalized Hilbert-Kunz function of a graded module over a two-dimensional standard graded normal -domain over an algebraically closed field of prime characteristic has the form , with rational generalized Hilbert-Kunz multiplicity and a bounded function. Moreover, we prove that if is a -algebra, the limit for of the generalized Hilbert-Kunz multiplicity over the fibers exists, and it is a rational number.
Titolo: | Generalized Hilbert-Kunz function in graded dimension 2 |
Autori: | |
Data di pubblicazione: | 2018 |
Rivista: | |
Handle: | http://hdl.handle.net/11567/1030785 |
Appare nelle tipologie: | 01.01 - Articolo su rivista |
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