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math.AG2023
Symmetries of Fano varieties
Louis Esser, Lena Ji, Joaquín Moraga
We study Fano varieties endowed with a faithful action of a symmetric group, as well as analogous results for Calabi--Yau varieties, and log terminal singularities. We show the exi…
math.AG2023
The fibering genus of Fano hypersurfaces
Nathan Chen, Benjamin Church, Lena Ji +1
Kollár proved that a very general -dimensional complex hypersurface of degree at least is not birational to a fibration in rational curves. This is most…
math.AG2023
A threefold violating a local-to-global principle for rationality
Sarah Frei, Lena Ji
In this note we construct an example of a smooth projective threefold that is irrational over but is rational at all places. Our example is a complete intersection of t…