Primitive collections and toric varieties
Cox, David A. ; von Renesse, Christine
Tohoku Math. J. (2), Tome 61 (2009) no. 1, p. 309-332 / Harvested from Project Euclid
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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.
Publié le : 2009-05-15
Classification:  Toric varieties,  primitive collections,  14M25 
@article{1255700197,
     author = {Cox, David A. and von Renesse, Christine},
     title = {Primitive collections and toric varieties},
     journal = {Tohoku Math. J. (2)},
     volume = {61},
     number = {1},
     year = {2009},
     pages = { 309-332},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1255700197}
}

Cox, David A.; von Renesse, Christine. Primitive collections and toric varieties. Tohoku Math. J. (2), Tome 61 (2009) no. 1, pp.  309-332. http://gdmltest.u-ga.fr/item/1255700197/