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math.AG2024★ 2 cited
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…
math.AG2024
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…