On the birationality of complete intersections associated to nef-partitions (Q2629101)

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 \textit{J. R. Calabrese} and \textit{R. P. Thomas} [Math. Ann. 365, No. 1--2, 155--172 (2016; Zbl 1342.14036)].