October 16, 2025Open Access

Complexes of differential forms and singularities: The injectivity theorem

View Full Paper

Ask AI

Bookmark

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.

Discussion

No takes yet. Share an insight, caveat, or question.

This paper proves injectivity on cohomology for the Grothendieck dual of Du Bois complexes, confirming Conjecture G.

Sándor J. Kovács (2025) studied this question.

View Full Paper

Ask AI

Bookmark