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I am very new to the world of almost mathematics and I am curious about the following: Fix an almost mathematics situation $(R,I)$ throughout. Very generally, the almost module category comes with a ...

Let $C\subset\Bbb{P}^n$ be an ACM (arithmetically Cohen-Macaulay) curve with homogeneous coordinate ring $R$. Then there is an exact sequence $$0\to \text{Tor}_i(R,\Bbb{C})_k\to H^1(C,\wedge^{i+1}M_L(...