Tohoku Mathematical Journal, Second Series
Online ISSN : 2186-585X
Print ISSN : 0040-8735
ISSN-L : 0040-8735
THE FUNCTOR OF A SMOOTH TORIC VARIETY
DAVID A. COX
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1995 年 47 巻 2 号 p. 251-262

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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.
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