3 papers
math.AG2026
On the internal homotopy theory of motivic categories
Dipankar Maity
We develop a general -categorical framework for internal Eilenberg-MacLane objects, internal homotopy groups, and an internal notion of covering spaces, and study their beh…
math.AG2026
Schematic Functorialities of Birational Motivic Homotopy Categories
Dipankar Maity
We promote the -birational motivic homotopy category assignment to a -valued presheaf on . As a consequence, the…
math.AG2026
Birational Algebraic Topology
Dipankar Maity
Over a qcqs scheme , we analyze the birational localization of the motivic -category . We…