Relative Invariants of Sheaves |
Contents
Preface | 1 |
Sheaves of abelian groups | 21 |
Sheaves of modules | 39 |
Copyright | |
7 other sections not shown
Common terms and phrases
abelian groups assertions are equivalent assume Azumaya algebra Bcl(X bijection Br(X Brauer group canonical map closed subset coherent sheaf cohomology cokernel commutative ring Corollary defined denote divisorial exact sequence finishes the proof finite rank finite type finitely presented following assertions foregoing functor in R-mod Gabriel filter hence Hom(E idempotent kernel functor induces injective invertible sheaves Krull domain Krull scheme locally free locally noetherian locally of finite locally ringed space M₁ modules morphism f o-closed o-finitely o-torsion open affine open covering open neighborhood open subset P₁ Pic(R Pic(S Pic(X Pic(Y Picard group positive integer presheaf prime ideal Proposition Let proves the assertion quasicoherent sheaf Qx,x Qy(Qx R-lattice R-module resp restriction result sheaf of abelian sheaf of Qx-modules sheaf space sheaves Spec(R subcategory surjective Sz(X topology torsionfree verify Y-Azumaya algebra Y-closed Y-invertible Y-progenerator yields