WebJan 1, 2006 · A.Beilinson, On the derived category of perverse sheaves, this volume. Google Scholar . J.Bernstein. Algebraic theory of D-modules, to appear. Google Scholar WebSheaf extension. Let (X, O) be a ringed space, and let F, H be sheaves of O-modules on X.An extension of H by F is a short exact sequence of O-modules . As with group extensions, if we fix F and H, then all equivalence classes of extensions of H by F form an abelian group (cf. Baer sum), which is isomorphic to the Ext group ⁡ (,), where the …

Étale topology - Wikipedia

WebAbstract. The titular, foundational work of Beilinson not only gives a technique for gluing perverse sheaves but also implicitly contains constructions of the nearby and vanishing cycles functors ... Webwhich more closely resemble ‘gluing’ and ‘nearby cycles,’ see Lemma 5.3.3. The possibility of doing so re ects that equivariant quasicoherent sheaves are more ‘rigid’ than arbitrary … 30篇经典美文英语短篇

Gluing, descent, sheaves and more Arithmetic variety

WebMar 17, 2024 · Given a gerbe G on X; the collection of sheaves of groupoids Aut _ ( a α) and outer automorphisms { λ α β } is called the band of the gerbe of X. I understand the definition and some immediate remarks about bands. I could not get the main idea behind the association of a band for a gerbe. Above definition is from the notes Introduction to ... WebA presheaf F is called an étale sheaf if it satisfies the analog of the usual gluing condition for sheaves on topological spaces. That is, F is an étale sheaf if and only if the following condition is true. ... Finite locally constant sheaves are constructible, and constructible sheaves are torsion. Every torsion sheaf is a filtered inductive ... WebFeb 8, 2010 · Abstract: The titular, foundational work of Beilinson not only gives a technique for gluing perverse sheaves but also implicitly contains constructions of the nearby and … 30節速度