On non-projective complete toric varieties

Published 3 Dec 2024 in math.AG | (2412.02392v1)

Abstract: For every complete toric variety, there exists a projective toric variety which is isomorphic to it in codimension one. In this paper, we show that every smooth non-projective complete toric threefold of Picard number at most five becomes projective after a finite succession of flops or anti-flips.

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