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 , �� ) ...

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/029N

Quasi-coherent Sheaves. Definition 92.33.1. Let be a scheme. A sheaf of -
modules is quasi-coherent if for every affine open the restriction is of the form for
some ...

math.stackexchange.com/questions/849958/is-there-a-coherent-sheaf-which-is-not-a-quotient-of-locally-free-sheaf

Jun 28, 2014 ... Suppose X is an algebraic variety, is there a coherent sheaf F on X which is not a
quotient of locally free sheaf？ (Hartshorne II Cor 5.18 ...

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, ...

math.stackexchange.com/questions/198558/when-is-the-sheaf-corresponding-to-a-vector-bundle-on-a-smooth-manifold-coherent

Sep 18, 2012 ... They are in particular examples of quasi-coherent sheaves. If the bundle is of
finite rank, then the sheaf is actually coherent and this is good for ...

www.math.upenn.edu/~chai/624_08/mumford-oda_chap7-8.pdf

The cohomology of coherent sheaves. 1. Basic Cech cohomology. We begin with
the general set-up. (i) X any topological space. U = {Uα}α∈S an open covering ...

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 ...