3 papers
math.AG2026
A birational description of the minimal exponent
Qianyu Chen, Mircea MustaÅ£Ä
We give a description of the minimal exponent of a hypersurface using higher direct images of suitably twisted sheaves of log forms on a log resolution.
math.AG2026
Higher singularities for hypersurfaces
Mircea Mustata, Jakub Witaszek
With an assumption on the codimension of the singular locus of a complex hypersurface in smooth variety , we show that if , then $\underlineΩ…
math.AG2024
On k-rational and k-Du Bois local complete intersections
Mircea Mustata, Mihnea Popa
We show that k-rational singularities of local complete intersections are k-Du Bois. For hypersurfaces, we characterize k-rationality in terms of the minimal exponent. We also esta…