What is ample line bundle?

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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Some articles on ample line bundle:

4th Line Road
4th Line Road (Ottawa Road #5) is a designated arterial road in the rural portion of Ottawa, Ontario, Canada ... The street follows one of the meridian lines first laid out when Carleton County was surveyed. 4th Line Road passes through the heart of North Gower, Ontario, and when in that town is known as "Main Street." The road runs just to the west of Highway 416, which is the more important north-south route ...
Ample Line Bundle - Generalizations - Big Line Bundles
... generalization, notably 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 Hilbert ...
Equations Defining Abelian Varieties - The Coordinate Ring
... in a projective space according to a very ample L and its global sections ... Koizumi's theorem states the third power of an ample line bundle is normally generated ... The Mumford–Kempf theorem states that the fourth power of an ample line bundle is quadratically presented ...
Zoids - Model Kit Lines - Original Japanese Release
... In 1983, following the success of the OAR, TOMY reintroduced the Zoids line in Japan ... The relaunched Japanese line, now entitled Zoids, was a success, running from 1983 until 1990 ... The Zoids line had its own "Battle Story" that was told serially on the backs of the model boxes and in catalogues ...
Xinyi Line (Taipei Metro)
... The Taipei Metro Xinyi Line is a high-capacity, rapid transit line currently under construction ... It is the extension of the Tamsui Line and part of the Red Line ... Upon completion, the line will alleviate congestion on the Nangang Line by providing another east-west route through the Xinyi District ...

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

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    The great challenge which faces us is to assure that, in our society of big-ness, we do not strangle the voice of creativity, that the rules of the game do not come to overshadow its purpose, that the grand orchestration of society leaves ample room for the man who marches to the music of another drummer.
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