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Download as PDF; Printable version; ... move to sidebar hide. The Stacks Project is an open source collaborative mathematics textbook writing project with the ...
Coherent sheaves can be seen as a generalization of vector bundles.There is a notion of a coherent analytic sheaf on a complex analytic space, and an analogous notion of a coherent algebraic sheaf on a scheme.
The Stacks Project authors. "6.11 Stalks". The Stacks Project authors. "6.27 Skyscraper sheaves and stalks". Goresky, Mark. "Introduction to Perverse Sheaves" (PDF). Institute for Advanced Study. Kiran Kedlaya. 18.726 Algebraic Geometry (LEC # 3 - 5 Sheaves)Spring 2009. Massachusetts Institute of Technology: MIT OpenCourseWare Creative Commons ...
An algebraic stack or Artin stack is a stack in groupoids X over the fppf site such that the diagonal map of X is representable and there exists a smooth surjection from (the stack associated to) a scheme to X.
A quasi-coherent sheaf on a ringed space (,) is a sheaf of -modules that has a local presentation, that is, every point in has an open neighborhood in which there is an exact sequence
Terminology: The definition given here is the one used by the first edition of EGA and the Stacks Project. In the second edition of EGA constructible sets (according to the definition above) are called "globally constructible" while the word "constructible" is reserved for what are called locally constructible above. [5]
Black Friday may be behind us but this weekend is filled with leftover sales and early Cyber Monday savings. Makes it the the perfect time to shop at Kate Spade, Michael Kors, and Coach, where the ...
Higher Topos Theory covers two related topics: ∞-categories and ∞-topoi (which are a special case of the former). The first five of the book's seven chapters comprise a rigorous development of general ∞-category theory in the language of quasicategories, a special class of simplicial set which acts as a model for ∞-categories.