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A Batyrev type classification of $Q$--factorial projective toric varieties (1504.06515v4)
Published 24 Apr 2015 in math.AG
Abstract: The present paper is devoted to generalizing, inside the class of projective toric varieties, the classification [Batyrev91], performed by Batyrev in 1991 for smooth complete toric varieties, to the singular $Q$--factorial case. Moreover, in the first part of the paper the Kleinschmidt classification of smooth complete toric varieties of Picard number 2 [Kleinschmidt] is revised.