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quasi coherent sheaves
Topics in Non commutative algebraic geometry and congruent zeta functions (Part III). Supplementary results on commutative algebraic geometry.
Yoshifumi Tsuchimoto
quasi coherent sheaves
-valued points and fibers
locally free sheaves of finite rank
Ultra filter
Elementary category theory
universe
examples of categories.
fiber product
definition of a fiber product
tensor products of algebras over a commutative ring
fiber products of schemes
flatness
Various kind of morphisms.
affine morphisms
closed immersion
differential calculus of schemes
separated morphisms
Linear differential operators
Jets
definition of linear differential operators
local description of differential operators
The sheaf of differential 1-forms
derivations
The sheaf of differential 1-forms as the universal derivation
first properties of 1-forms
Étale morphism
morphism of finite type
Unramified morphism
NAK
Étale morphism
Smooth morphism
appendix
exact sequence
Bibliography
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2007-12-11
-valued points and fibers