Elementary Birational Maps between Mori Toric Fiber 3-Spaces
In the present paper, we classify elementary equivariant birational maps (links) between Mori toric fiber 3-spaces. These links are naturally divided into several classes, depending on the dimension of the bases. For classes containing finitely many links, we present a complete list, in other cases we provide a local description (see the statements in Sec. 4). Almost all the proofs are of combinatorial nature, which is why we present proofs of the results from Sec. 3 only.
Key wordsMori fiber space toric variety birational map terminal singularity fan log-flip
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