4 papers
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…
Noncommutative rigidity of the moduli stack of stable pointed curves
Shinnosuke Okawa, Taro Sano
We prove that the second Hochschild cohomology group of the moduli stack of stable -pointed genus curves vanishes for all but finitely many .
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…
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…