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On the birationality of complete intersections associated to nef-partitions. (English) Zbl 1360.14040
In this paper, the author proves that if $$X$$, $$\tilde{X}$$ are toric multiple mirrors and $$D$$ is a certain determinantal variety such that they are all irreducible with equal dimension then, $$X$$ and $$\tilde{X}$$ are birational. The author also includes some applications of his results to an example of J. R. Calabrese and R. P. Thomas [Math. Ann. 365, No. 1–2, 155–172 (2016; Zbl 1342.14036)].

##### MSC:
 1.4e+06 Rational and birational maps
Full Text:
##### References:
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