Complexes of differential forms and singularities: The injectivity theorem

Key Points

• The natural morphism from the Grothendieck dual is injective on cohomology.
• This result pertains to varieties with (m-1)-Du Bois singularities, confirming a long-standing conjecture.
• The work proves a significant result in algebraic geometry concerning dual complexes and singularities.
• The injectivity theorem establishes a key linkage between Du Bois singularities and cohomological properties.