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  2. Sheaf cohomology - Wikipedia

    en.wikipedia.org/wiki/Sheaf_cohomology

    On a scheme, it is also useful to consider the quasi-coherent sheaves, which include the locally free sheaves of infinite rank. A great deal is known about the cohomology groups of a scheme or complex analytic space with coefficients in a coherent sheaf. This theory is a key technical tool in algebraic geometry.

  3. Sheaf (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Sheaf_(mathematics)

    Especially in the context of sheaves on manifolds, sheaf cohomology can often be computed using resolutions by soft sheaves, fine sheaves, and flabby sheaves (also known as flasque sheaves from the French flasque meaning flabby). For example, a partition of unity argument shows that the sheaf of smooth functions on a manifold is soft.

  4. List of GM bellhousing patterns - Wikipedia

    en.wikipedia.org/.../List_of_GM_bellhousing_patterns

    Also called the GM small corporate pattern and the S10 pattern. This pattern has a distinctive odd-sided hexagonal shape. Rear wheel drive applications have the starter mounted on the right side of the block (when viewed from the flywheel) and on the opposite side of the block compared to front wheel drive installations.

  5. Image functors for sheaves - Wikipedia

    en.wikipedia.org/wiki/Image_functors_for_sheaves

    In mathematics, especially in sheaf theory—a domain applied in areas such as topology, logic and algebraic geometry—there are four image functors for sheaves that belong together in various senses. Given a continuous mapping f: X → Y of topological spaces, and the category Sh(–) of sheaves of abelian groups on a topological space. The ...

  6. Simplicial presheaf - Wikipedia

    en.wikipedia.org/wiki/Simplicial_presheaf

    In mathematics, more specifically in homotopy theory, a simplicial presheaf is a presheaf on a site (e.g., the category of topological spaces) taking values in simplicial sets (i.e., a contravariant functor from the site to the category of simplicial sets).

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  8. Coherent sheaf - Wikipedia

    en.wikipedia.org/wiki/Coherent_sheaf

    Coherent sheaves can be seen as a generalization of vector bundles. Unlike vector bundles, they form an abelian category, and so they are closed under operations such as taking kernels, images, and cokernels. The quasi-coherent sheaves are a generalization of coherent sheaves and include the locally free sheaves of infinite rank.

  9. Injective sheaf - Wikipedia

    en.wikipedia.org/wiki/Injective_sheaf

    In mathematics, injective sheaves of abelian groups are used to construct the resolutions needed to define sheaf cohomology (and other derived functors, such as sheaf Ext). There is a further group of related concepts applied to sheaves : flabby ( flasque in French), fine , soft ( mou in French), acyclic .