English

Supports for constructible systems

Algebraic Geometry 2022-10-18 v2 Category Theory

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.

Keywords

Cite

@article{arxiv.2107.03731,
  title  = {Supports for constructible systems},
  author = {Martin Gallauer},
  journal= {arXiv preprint arXiv:2107.03731},
  year   = {2022}
}

Comments

31 pages; v2: many small improvements following referee report; published version

R2 v1 2026-06-24T03:59:41.748Z