geometry, the decomposition theorem of Beilinson, Bernstein and Deligne or BBD decomposition theorem is a set of results concerning the cohomology of algebraic...
8 KB (1,157 words) - 11:40, 6 January 2023
approaches. With Alexander Beilinson, Joseph Bernstein, and Ofer Gabber, Deligne made definitive contributions to the theory of perverse sheaves. This theory...
19 KB (1,932 words) - 07:55, 21 August 2024
Inform., Moscow. pp. 181–238. Beilinson, A. A.; Bernstein, J.; Deligne, P. (1982). "Faisceaux pervers". Analysis and topology on singular spaces, I (Luminy...
11 KB (1,027 words) - 15:26, 31 December 2023
Perverse sheaf (section Definition and examples)
concept was introduced in the work of Joseph Bernstein, Alexander Beilinson, and Pierre Deligne (1982) as a consequence of the Riemann-Hilbert correspondence...
19 KB (2,253 words) - 13:24, 24 May 2024
conjecture was first proved by Clemens. The theorem is also a consequence of the BBD decomposition. Deligne also proved the following. Given a proper morphism...
3 KB (445 words) - 23:20, 8 April 2024
rows and 4 columns. Beilinson, Bernstein, and Deligne (1982) also give generalizations of the octahedral axiom. Here are some simple consequences of the...
37 KB (5,798 words) - 23:12, 18 August 2024
Morihiko Saito (category University of Tokyo alumni)
a generalization of the fundamental decomposition theorems of Alexander Beilinson, Joseph Bernstein, Deligne, and Ofer Gabber about perverse sheaves in...
5 KB (560 words) - 20:56, 4 May 2024
Tchamitchian, 2001) Deligne's conjecture on 1-motives (Luca Barbieri-Viale, Andreas Rosenschon, Morihiko Saito, 2001) Modularity theorem (Christophe Breuil...
190 KB (19,589 words) - 02:36, 29 August 2024