### Some articles on *global, global sections, sections, section*:

... bundle is very ample if it is globally generated and the morphism given by some

**global**generators is an immersion ... ⊗ L⊗n is generated by finitely many

**global sections**for sufficiently large n ... This in turn implies that

**global sections**and higher (Zariski) cohomology groups Hi(X, F) are finitely generated ...

... In the case Spec A for a ring A, the

**global sections**of the structure sheaf form A itself, whereas the

**global sections**of here form only the degree-zero elements of S ... This situation is to be contrasted with the fact that the spec functor is adjoint to the

**global sections**functor in the category of locally ringed spaces ...

**Global Sections**

... In mathematics, a sheaf spanned by

**global sections**is a sheaf F on a locally ringed space X, with structure sheaf OX that is of a rather simple type ... it is asserted that if A is the abelian group of

**global sections**, i.e ... In words, all

**sections**of F are locally generated by the

**global sections**...

**Global Sections**

... Fiber bundles do not in general have such

**global sections**, so it is also useful to define

**sections**only locally ... A local

**section**of a fiber bundle is a continuous map s U → E where U is an open set in B and π(s(x)) = x for all x in U ... from π−1(U) to U × F (where F is the fiber), then local

**sections**always exist over U in bijective correspondence with continuous maps from U to F ...

### Famous quotes containing the words sections and/or global:

“I have a new method of poetry. All you got to do is look over your notebooks ... or lay down on a couch, and think of anything that comes into your head, especially the miseries.... Then arrange in lines of two, three or four words each, don’t bother about sentences, in *sections* of two, three or four lines each.”

—Allen Ginsberg (b. 1926)

“However *global* I strove to become in my thinking over the past twenty years, my sons kept me rooted to an utterly pedestrian view, intimately involved with the most inspiring and fractious passages in human development. However unconsciously by now, motherhood informs every thought I have, influencing everything I do. More than any other part of my life, being a mother taught me what it means to be human.”

—Mary Kay Blakely (20th century)