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math.AG2024
Descent and generation for noncommutative coherent algebras over schemes
Timothy De Deyn, Pat Lank, Kabeer Manali Rahul
Our work shows forms of descent, in the fppf, h and étale topologies, for strong generation of the bounded derived category of a noncommutative coherent algebra over a scheme. Even…
math.AG2024
Approximability and Rouquier dimension for noncommutative algebras over schemes
Timothy De Deyn, Pat Lank, Kabeer Manali Rahul
This work is concerned with approximability (à la Neeman) and Rouquier dimension for triangulated categories associated to noncommutative algebras over schemes. Amongst other thing…
math.RA2024
Bounded -structures, finitistic dimensions, and singularity categories of triangulated categories
Rudradip Biswas, Hongxing Chen, Kabeer Manali Rahul +2
Recently, Amnon Neeman settled a bold conjecture by Antieau, Gepner, and Heller regarding the relationship between the regularity of finite-dimensional noetherian schemes and the e…