Proves the localization theorem for motivic homotopy theory over complex analytic stacks and supplies general techniques for algebraic and differentiable stacks.
Nori motives (and mixed Hodge modules) with integral coefficients
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
abstract
We construct abelian categories of integral Nori motivic sheaves over a scheme of characteristic zero. The first step is to study the presentable derived category of Nori motives over a field. Next we construct an algebra in \'etale motives such that modules over it afford a t-structure that restricts to constructible objects. This category of integral Nori motives has the six operations and arc-descent. We finish by providing analogous constructions and results for mixed Hodge modules on schemes over the reals.
fields
math.AG 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Computations for A1, Ak, D4, E8 and other singularities show finite discriminant torsion is a codimension-two phenomenon, not generic for nodes, with threefold ordinary double points being torsion-free.
citing papers explorer
-
The Localization Theorem for the Motivic Homotopy Theory of Complex Analytic Stacks and other Geometric Settings
Proves the localization theorem for motivic homotopy theory over complex analytic stacks and supplies general techniques for algebraic and differentiable stacks.
-
Torsion Trajectories from Local Discriminants to Global Obstructions
Computations for A1, Ak, D4, E8 and other singularities show finite discriminant torsion is a codimension-two phenomenon, not generic for nodes, with threefold ordinary double points being torsion-free.