that the higher direct images of a constructible sheaf are constructible. Here we use the definition of constructible étale sheaves from the book by Freitag...
6 KB (952 words) - 02:08, 27 April 2024
sheaf cohomology is the application of homological algebra to analyze the global sections of a sheaf on a topological space. Broadly speaking, sheaf cohomology...
36 KB (5,832 words) - 15:01, 25 July 2024
polygon that can be constructed with compass and straightedge Constructible sheaf, a certain kind of sheaf of abelian groups Constructible set (topology),...
1 KB (225 words) - 20:35, 11 April 2019
number of authors). Coherent sheaf Gerbe Stack (mathematics) Sheaf of spectra Perverse sheaf Presheaf of spaces Constructible sheaf De Rham's theorem Eisenbud...
68 KB (10,956 words) - 07:22, 21 August 2024
cohomology lie not in a field but instead in a constructible sheaf. They prove that for a constructible sheaf F {\displaystyle {\mathcal {F}}} on an affine...
12 KB (1,762 words) - 06:17, 8 June 2024
Chevalley's theorem in algebraic geometry shows that the image of a constructible set is constructible for an important class of mappings (more specifically morphisms)...
10 KB (1,651 words) - 18:10, 6 December 2022
Thom–Mather stratified space. On a stratified space, a constructible sheaf can be defined as a sheaf that is locally constant on each stratum. Among the...
4 KB (528 words) - 08:09, 4 May 2024
constant sheaves are constructible, and constructible sheaves are torsion. Every torsion sheaf is a filtered inductive limit of constructible sheaves. In applications...
33 KB (5,016 words) - 17:10, 20 January 2024
{F}}|_{U}} is a constant sheaf on U. It is also called a local system. When X is a stratified space, a constructible sheaf is roughly a sheaf that is locally constant...
4 KB (537 words) - 20:01, 26 April 2024
Local system (category Sheaf theory)
generalization to constructible sheaves -- a constructible sheaf on a locally path connected topological space X {\displaystyle X} is a sheaf L {\displaystyle...
14 KB (2,671 words) - 02:38, 20 April 2024