Primitive collections and toric varieties

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概要

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• This paper studies Batyrev's notion of primitive collection. We use primitive collections to characterize the nef cone of a quasi-projective toric variety whose fan has convex support, a result stated without proof by Batyrev in the smooth projective case. When the fan is non-simplicial, we modify the definition of primitive collection and explain how our definition relates to primitive collections of simplicial subdivisons. The paper ends with an open problem.

• 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

• von Renesse

  Department of Mathematics, Westfield State College

• Von Renesse

  Department Of Mathematics Westfield State College

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