4 papers · 1 filter
K-stability of Fano weighted hypersurfaces via plt flags and convex geometry
Livia Campo, Kento Fujita, Taro Sano +1
We develop a framework to study the K-stability of weighted Fano hypersurfaces based on a combination of birational and convex-geometric techniques. As an application, we prove tha…
Delta invariants of weighted hypersurfaces
Taro Sano, Luca Tasin
We give a lower bound for the delta invariant of the fundamental divisor of a quasi-smooth weighted hypersurface. As a consequence, we prove K-stability of a large class of quasi-s…
On Hodge structures of compact complex manifolds with semistable degenerations
Taro Sano
Compact Kähler manifolds satisfy several nice Hodge-theoretic properties such as the Hodge symmetry, the Hard Lefschetz property and the Hodge-Riemann bilinear relations, etc. In t…
Examples of non-Kähler Calabi-Yau manifolds with arbitrarily large
Taro Sano
We construct non-Kähler Calabi-Yau manifolds of dimension 4 with arbitrarily large 2nd Betti numbers by smoothing normal crossing varieties. The examples have K3 fibrations…