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5 votes
0 answers
288 views

Picard group of almost module category

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 ...
3 votes
1 answer
258 views

Invertible bimodules which are isomorphic in the stable module category

I'm in the following situation. I have a self-injective finite-dimensional basic algebra $\Lambda$ (hence Frobenius) over a perfect field and two finite-dimensional invertible $\Lambda$-bimodules $M$ ...
1 vote
0 answers
60 views

Reference needed for exact sequence of ACM curves with homogeneous coordinate ring.

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(...