en.wikipedia.org/wiki/Coherent_sheaf

In mathematics, especially in algebraic geometry and the theory of complex
manifolds, coherent sheaves are a class of sheaves closely linked to the
geometric ...

ncatlab.org/nlab/show/coherent sheaf

Jun 2, 2014 ... 1. Idea. A coherent sheaf of modules is a geometric globalization of the notion of
coherent module. 2. Definition. Over a ringed topos. Let ( X , �� ) ...

ncatlab.org/nlab/show/quasicoherent sheaf

5 days ago ... A quasicoherent sheaf of modules (often just “quasicoherent sheaf”, for short) is a
sheaf of modules over the structure sheaf of a ringed space ...

stacks.math.columbia.edu/tag/029N

Quasi-coherent Sheaves. Definition 92.35.1. Let be a scheme. A sheaf of -
modules is quasi-coherent if for every affine open the restriction is of the form for
some ...

stacks.math.columbia.edu/tag/01XY

Although it is possible to consider coherent sheaves on non-Noetherian schemes
we will always assume the base scheme is locally Noetherian when we ...

stacks.math.columbia.edu/tag/01Y7

Lemma 29.10.2. Let be a Noetherian scheme. Let be a coherent sheaf on . Let be
a quasi-coherent sheaf of ideals corresponding to a closed subscheme .

mathoverflow.net/questions/206077/do-i-know-what-coherent-sheaf-means-if-i-know-what-it-means-on-locally-noether

May 8, 2015 ... I've been trying to convince myself that "coherent sheaf" is a natural definition.
One way I might be satisfied is the following: for modules over a ...

math.stackexchange.com/questions/1400481/why-did-serre-choose-coherent-sheaves

Aug 17, 2015 ... First thing - I don't know any algebraic geometry. I'm trying to understand a little
bit about quasi-coherent sheaves but not for the sake of AG, ...

www.math.uiuc.edu/Macaulay2/doc/Macaulay2-1.9/share/doc/Macaulay2/Macaulay2Doc/html/___Coherent__Sheaf.html

Functions and methods returning a coherent sheaf : ambient(CoherentSheaf) (
missing documentation); CoherentSheaf ** CoherentSheaf -- tensor produce of ...

math.mit.edu/~mckernan/Teaching/09-10/Spring/18.726/l_4.pdf

Coherent Sheaves. Definition 4.1. If (X,OX) is a locally ringed space, then we say
that an OX-module F is locally free if there is an open affine cover {Ui} of X such ...