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Apr
1
comment Inverse Limit of Sheaves
The idea is that working mod $x^d$, one can "rationalize denominators" - convert a rational function whose denominator has a nonzero constant term into a polynomial. However, for large $d$, this requires using high degree polynomials. Now one wants that for large $d$, sections of $\mathcal{G}$ over small open sets (large $m$) glue together mod $\mathcal{F}^d$, but not otherwise. Requiring no poles at $∞$ gives $\deg(f)≤m$, forcing $m$ large to make sections glue mod $x^d$. Hope this helps.
Mar
31
awarded  Teacher
Mar
31
answered Inverse Limit of Sheaves