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math.SG2023
Homological mirror symmetry for complete intersections in algebraic tori
Hayato Morimura, Nicolò Sibilla, Peng Zhou
We prove one direction of homological mirror symmetry for complete intersections in algebraic tori, in all dimensions. The mirror geometry is not a space but a LG model, i.e. a pai…
math.AG2023
Totaro--Vial lemma in F-theory
Hayato Morimura
For each pair of elliptic Calabi--Yau -folds in the list of Knapp--Scieidegger--Schimannek \cite{2107.05647}, we prove that they are derived-equivalent linear over the base. Exc…