Qing Liu, Reinie Erné
Abstract
Abstract The notion of quasi-coherent sheaves in algebraic geometry was introduced by J.-P. Serre ([85]). These are sheaves which are in some sense ‘locally constant’ with respect to the structural sheaf. They are the analogues of modules over a ring. The theory of quasi-coherent sheaves and their cohomology groups is a powerful tool for studying schemes.
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Abstract The notion of quasi-coherent sheaves in algebraic geometry was introduced by J.-P. Serre ([85]). These are sheaves which are in some sense ‘locally constant’ with respect to the structural sheaf. They are the analogues of modules over a ring. The theory of quasi-coherent sheaves and their cohomology groups is a powerful tool for studying schemes.
Key concepts: Coherent sheaf, Sheaf, Mathematics, Sheaf cohomology, Base change, Pure mathematics, Cohomology, Group cohomology