Showing math.AGShow all
3 papers · 1 filter
math.AG2025
Dévissage for generation in derived categories
Souvik Dey, Pat Lank
We study a form of dévissage for generation in derived categories of Noetherian schemes. First, we extend a result of Takahashi from the affine context to the global setting, show…
math.AG2025
Closedness of the singular locus and generation for derived categories
Souvik Dey, Pat Lank
This work is concerned with a relationship regarding the closedness of the singular locus of a Noetherian scheme and existence of classical generators in its category of coherent s…
math.AG2025
Preservation for generation along the structure morphism of coherent algebras over a scheme
Anirban Bhaduri, Souvik Dey, Pat Lank
This work demonstrates classical generation is preserved by the derived pushforward along the structure morphism of a noncommutative coherent algebra to its underlying scheme. Addi…