The functor of a smooth toric variety

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概要

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• This paper describes the data needed to specify a map from a scheme to an arbitrary smooth toric variety. The description is in terms of a collection of line bundles and sections on the scheme which satisfy certain compatibility and nondegeneracy conditions. There is also a natural torus action on these collections. As an application, we show how homogeneous polynomials can be used to describe all maps from a pro-jective space (or more generally a toric variety) to a smooth complete toric variety.

• 東北大学の論文

著者

• Cox David

  Department Of Mathematics And Computer Science Amherst College

• Cox David

  Department Of Genetics Stanford University School Of Medicine

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