Constructs infinitely many new klt Q-Gorenstein degenerations of P^n via weighted projective spaces in any dimension and studies deformations of weighted projective threefolds.
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2026 2verdicts
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Under a codimension assumption on the singular locus, isomorphism of the m-th differential sheaf implies isomorphisms for all lower i on complex hypersurfaces, with a positive characteristic analogue discussed.
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Weighted projective degenerations of $\mathbb{P}^{n}$
Constructs infinitely many new klt Q-Gorenstein degenerations of P^n via weighted projective spaces in any dimension and studies deformations of weighted projective threefolds.
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Higher singularities for hypersurfaces
Under a codimension assumption on the singular locus, isomorphism of the m-th differential sheaf implies isomorphisms for all lower i on complex hypersurfaces, with a positive characteristic analogue discussed.