Supports for constructible systems
Martin Gallauer
TL;DR
This paper introduces a universal support theory applicable to various derived categories of sheaves and modules, enabling classification and topological reconstruction of algebraic varieties.
Contribution
It develops a universal support framework for derived categories of constructible sheaves and D-modules, facilitating classification and reconstruction of algebraic varieties.
Findings
Classifies objects up to tensor triangulated structure
Discusses monoidal topological reconstruction of varieties
Provides a unified support theory for multiple categories
Abstract
We develop a `universal' support theory for derived categories of constructible (analytic or \'etale) sheaves, holonomic D-modules, mixed Hodge modules and others. As applications we classify such objects up to the tensor triangulated structure and discuss the question of monoidal topological reconstruction of algebraic varieties.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Nonlinear Waves and Solitons