query: Short exact sequence of sheaves induces long exact sequence on sections
positive_passages.docid: 27651
positive_passages.text: Induced sequence of global sections
negative_passages.docid: 111746
negative_passages.text: $(A/\mathfrak{a}) \otimes_A M \simeq M / \mathfrak{a}M$ by tensoring the canonical exact sequence.
negative_passages.docid: 156005
negative_passages.text: Pullback of locally free sheaves is locally free
negative_passages.docid: 85148
negative_passages.text: How do ideal quotients behave with respect to localization?
negative_passages.docid: 40427
negative_passages.text: Presheaf image of a monomorphism of sheaves is a sheaf
negative_passages.docid: 148007
negative_passages.text: Is the pushforward of the sheaf of differentials on an elliptic curve over a scheme necessarily trivial?
negative_passages.docid: 7708
negative_passages.text: Obstruction to the splitness of an exact sequence of holomorphic vector bundles
negative_passages.docid: 51786
negative_passages.text: Is every additive monofunctor between abelian categories left exact?
negative_passages.docid: 146789
negative_passages.text: A locally constant sheaf on a locally connected space is a covering space; Proof?
negative_passages.docid: 140540
negative_passages.text: Infinite number of intermediate fields between K(u,v) and K
negative_passages.docid: 7645
negative_passages.text: Noetherian property for exact sequence
negative_passages.docid: 113790
negative_passages.text: $\overline{B_1(0)}$ is not weakly* sequentially compact in $(l^\infty)$'
negative_passages.docid: 97669
negative_passages.text: Sheafs and closed immersion
negative_passages.docid: 79591
negative_passages.text: Exact Sequences of Modules and Rank
negative_passages.docid: 107842
negative_passages.text: Behaviour of ($\overline{a}_n)_{n=1}^{\infty}$ and ($\underline{a}_n)_{n=1}^{\infty}$
negative_passages.docid: 66862
negative_passages.text: The importance of $G \cong K \times H$ is just to create the split short exact sequence.
negative_passages.docid: 28425
negative_passages.text: Constructing a sequence of function