It is well-known that any short exact sequence of vector spaces splits. Is it also true that the short exact sequence of sheaves of $\mathbb C$-vector spaces
$$0\rightarrow A\rightarrow B\rightarrow C\rightarrow0$$
always splits? Thanks.
It is well-known that any short exact sequence of vector spaces splits. Is it also true that the short exact sequence of sheaves of $\mathbb C$-vector spaces
$$0\rightarrow A\rightarrow B\rightarrow C\rightarrow0$$
always splits? Thanks.
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