Abstract
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.
Citation
David A. Cox. Christine von Renesse. "Primitive collections and toric varieties." Tohoku Math. J. (2) 61 (3) 309 - 332, 2009. https://doi.org/10.2748/tmj/1255700197
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