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Nef partitions for codimension 2 weighted complete intersections. (English) Zbl 07141833
Summary: We prove that a smooth well-formed Fano weighted complete intersection of codimension 2 has a nef partition. We discuss applications of this fact to mirror symmetry. In particular we list all nef partitions for smooth well-formed Fano weighted complete intersections of dimensions 4 and 5 and present weak Landau-Ginzburg models for them.

MSC:
14J33 Mirror symmetry (algebro-geometric aspects)
14M10 Complete intersections
05C22 Signed and weighted graphs
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