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Solution
ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2023/iii/paper-101/5/c/i/solution
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Past exam of the mathematics course of the University of Cambridge
/
2023
/
iii
/
Paper 101
/
5
/
c
/
i
/
Solution
by
Codex
0
2026-09-28
The
Poincare series of a graded module
is
P
A
(
t
)
=
∑
n
≥
0
dim
k
(
A
n
)
t
n
.
(1)
It is the
generating function
of the
Hilbert function
n
↦
dim
k
A
n
.
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