Let $X$ be a projective variety. Denote by $GL(n,\mathcal{O}_X)$ be the sheaf which associates to an open set $U$ the general linear group $GL(n,\mathcal{O}_X(U))$. Is there any kind of addition operation (not necessarily commutative) defined on $H^1(GL(n,\mathcal{O}_X))$? I would think that the multiplication of the matrices should induce an operation on $H^1(GL(n,\mathcal{O}_X))$.
2026-03-28 05:22:46.1774675366
A stupid question on cohomology of sheaves
49 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in ALGEBRAIC-GEOMETRY
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