Inversion of adjunction for higher rational singularities

2025/10/13 by Kawakami, Tatsuro, Witaszek, Jakub
#14B05 #14F10 #32S35 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2510.11378

Abstract

We prove inversion of adjunction for higher rational singularities.

Citations

• Complexes of differential forms and singularities: The injectivity theorem
• Injectivity and Vanishing for the Du Bois Complexes of Isolated Singularities
• Inversion of Adjunction for the minimal exponent
• Test ideals in mixed characteristic: a unified theory up to perturbation
• Du Bois complex and extension of forms beyond rational singularities
• Applications of perverse sheaves in commutative algebra
• On k-Du Bois and k-rational singularities
• The minimal exponent and k-rationality for local complete intersections
• The higher Du Bois and higher rational properties for isolated singularities
• Higher Du Bois and higher rational singularities
• Hodge filtration on local cohomology, Du Bois complex, and local cohomological dimension
• Higher Du Bois singularities of hypersurfaces
• Relative semiampleness in mixed characteristic
• The Du Bois complex of a hypersurface and the minimal exponent
• Cohen-Macaulayness of absolute integral closures
• Hodge ideals
• On Saito's vanishing theorem
• An overview of Morihiko Saito's theory of mixed Hodge modules
• Steenbrink vanishing extended
• Direct image of logarithmic complexes and infinitesimal invariants of cycles
• Mixed Hodge Complexes on Algebraic Varieties

Related

• Inversion of Adjunction for the minimal exponent
• Inversion of adjunction for non-degenerate hypersurfaces
• Inversion of adjunction for quotient singularities II: Non-linear actions
• On inversion of adjunction
• Simple criteria for higher rational singularities