Point

1. Here the space of global sections is often finite dimensional, but there may not be any non-vanishing global sections at a given point. (Web site)

Sheaves

1. Using the notion of sheaves generated by global sections, it can be shown that any algebraic (not necessarily linear) automorphism has to be linear, i.e. (Web site)

Functor

1. Typical examples are, or for some fixed object A, or the global sections functor on sheaves or the direct image functor.
2. The functor F associates to every affine scheme its ring of global sections. (Web site)

Local Cohomology

1. It computes the local cohomology of the ring of global sections in terms of the local cohomology of the stalks and the cohomology of the poset.

Sheaf

1. Here is the cotangent bundle of (defined as a sheaf), is the set of global sections of, and is the value of the function at the point.

Global Sections

1. In mathematics, a sheaf spanned by global sections is a sheaf F on a locally ringed space X, with structure sheaf O X that is of a rather simple type. (Web site)
2. Fiber bundles do not in general have such global sections, so it is also useful to define sections only locally. (Web site)
3. The functor F associates to every scheme its ring of global sections.

Categories

1. Locally Ringed Space
2. Structure Sheaf
3. Simple Type
4. Local Cohomology
5. Physics > Theoretical Physics > Differential Geometry > Fiber Bundles
6. Books about "Global Sections" in Amazon.com
   

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