3 papers
math.AG2026
Exceptional Fano 3-folds from rational curves
Jaime Cuadros Valle, Joe Lope Vicente
We show exceptionality of certain families of non-quasismooth weighted hypersurfaces. In particular these admit Kähler-Einstein metrics. Our examples are produced by the monomials…
math.DG2025
The local moduli of Sasaki-Einstein rational homology 7-spheres and invertible polynomials
Jaime Cuadros Valle, Joe Lope Vicente
We study the local moduli space of Sasaki-Einstein metrics on links of invertible polynomials defining rational homology 7 -spheres. All these polynomials are either of cycle type…
math.DG2024
Non-existence of extremal Sasaki metrics via the Berglund-Hübsch transpose
Jaime Cuadros Valle, Ralph R. Gomez, Joe Lope Vicente
We use the Berglund-Hübsch transpose rule from classical mirror symmetry in the context of Sasakian geometry and results on relative K-stability in the Sasaki setting developed by…