collaborators

3 papers

math.SG2024

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.AG2024

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…

math.AG2024

Reduced Tate-Shafarevich group

Hayato Morimura

We prove a sort of reconstruction theorem for generic elliptic Calabi-Yau -folds in the sense of Căldăraru. From our argument it follows that two generic elliptic Calabi-Yau $…