Relative Invariants of Sheaves |
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Contents
Sheaves of abelian groups | 21 |
Sheaves of modules | 39 |
Base change | 59 |
6 other sections not shown
Common terms and phrases
a-closed a-finitely a-progenerator a-torsion A°pp abelian groups assertions are equivalent assume Azumaya algebra Bcl(X bijection Br(X Brauer group closed subset coherent sheaf cohomology cokernel commutative ring Corollary defined denote divisorial End(E exact sequence finishes the proof finite type finitely presented following assertions foregoing functor in R-mod Gabriel filter hence Hom(E i e l idempotent kernel functor induces injective invertible sheaves Krull domain Krull scheme ln particular lndeed locally free locally noetherian locally of finite locally ringed space lt follows modules morphism f O_x-modules open affine open covering open neighborhood open subset Open(X p e K(a Pic(R Pic(S Pic(X Pic(Y Picard group positive integer presheaf prime ideal Proposition Let proves the assertion quasicoherent sheaf QY(E R-lattice R-module resp result sheaf of abelian sheaf of Qx-modules sheaf space sheaves Spec(R subcategory surjective topology torsionfree verify Y-Azumaya algebra Y-closed Y-invertible yields
References to this book
Bibliographic information
| Title | Relative Invariants of Sheaves Volume 104 of Monographs and textbooks in pure and applied mathematics Volume 104 of Pure and applied mathematics : a series of monographs and textbooks Volume 104 of Pure and applied mathematics, ISSN 0079-8177 |
| Author | A. Verschoren |
| Edition | illustrated |
| Publisher | M. Dekker, 1987 |
| Original from | the University of California |
| Digitized | May 24, 2008 |
| ISBN | 0824777344, 9780824777340 |
| Length | 249 pages |
| Subjects | › Mathematics / General |
| Export Citation | BiBTeX EndNote RefMan |