Ample Line Bundle

In algebraic geometry, a very ample line bundle is one with enough global sections to set up an embedding of its base variety or manifold into projective space. An ample line bundle is one such that some positive power is very ample. Globally generated sheaves are those with enough sections to define a morphism to projective space.

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Other articles related to "line, lines, ample, ample line bundle, line bundle":

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... in birational geometry, is that of a big line bundle ... A line bundle on X is said to be big if the equivalent following conditions are satisfied is the tensor product of an ample line bundle and an effective line bundle the ...

Famous quotes containing the words bundle, ample and/or line:

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    I said: “A line will take us hours maybe;
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    William Butler Yeats (1865–1939)