• Look up sheaf in Wiktionary, the free dictionary. In mathematics, a sheaf (pl.: sheaves) is a tool for systematically tracking data (such as sets, abelian...
    68 KB (11,057 words) - 03:33, 7 November 2024
  • In mathematics, a constructible sheaf is a sheaf of abelian groups over some topological space X, such that X is the union of a finite number of locally...
    6 KB (952 words) - 15:14, 2 October 2024
  • Look up sheaf in Wiktionary, the free dictionary. Sheaf may refer to: Sheaf (agriculture), a bundle of harvested cereal stems Sheaf (mathematics), a mathematical...
    588 bytes (117 words) - 01:39, 23 June 2019
  • Coherent sheaf cohomology is a powerful technique, in particular for studying the sections of a given coherent sheaf. A quasi-coherent sheaf on a ringed...
    40 KB (6,913 words) - 21:25, 2 April 2024
  • In mathematics, the constant sheaf on a topological space X {\displaystyle X} associated to a set A {\displaystyle A} is a sheaf of sets on X {\displaystyle...
    6 KB (1,003 words) - 21:21, 30 September 2024
  • In mathematics, injective sheaves of abelian groups are used to construct the resolutions needed to define sheaf cohomology (and other derived functors...
    7 KB (1,059 words) - 21:31, 6 February 2022
  • Ringed space (redirect from Structure sheaf)
    Precisely, it is a topological space equipped with a sheaf of rings called a structure sheaf. It is an abstraction of the concept of the rings of continuous...
    9 KB (1,486 words) - 03:46, 4 November 2024
  • In mathematics, the stalk of a sheaf is a mathematical construction capturing the behaviour of a sheaf around a given point. Sheaves are defined on open...
    10 KB (1,582 words) - 13:44, 10 October 2024
  • In mathematics, a sheaf of O-modules or simply an O-module over a ringed space (X, O) is a sheaf F such that, for any open subset U of X, F(U) is an O(U)-module...
    19 KB (3,443 words) - 20:45, 30 March 2024
  • In mathematics, an invertible sheaf is a sheaf on a ringed space which has an inverse with respect to tensor product of sheaves of modules. It is the...
    3 KB (464 words) - 19:02, 11 July 2023