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math.AG2026
Hodge theory and K-stability of some very symmetric hypersurfaces
Hyunsuk Kim
We study some interesting hypersurfaces that naturally arise when studying the period map on the moduli space of hypersurfaces, in the context of Sung Gi Park's recent work on stud…
math.AG2024
Canonical bundle formula and a conjecture on certain algebraic fiber spaces by Schnell
Hyunsuk Kim
We observe what the canonical bundle formula gives towards a conjecture of Schnell on algebraic fiber spaces, a question concerning the equivalence between the non-vanishing conjec…
math.AG2024
A Remark on Fujino's work on the canonical bundle formula via period maps
Hyunsuk Kim
Fujino gave a proof in [Fuj03] for the semi-ampleness of the moduli part in the canonical bundle formula in the case when the general fibers are K3 surfaces or Abelian varieties. W…