nLab Category — algebraic geometry

Overview

The nLab has 87 pages in this category.

Pages

• affine Grassmannian
• affine group scheme
• affine morphism
• affine scheme
• Alexander Rosenberg
• algebraic equation
• algebraic geometry
• algebraic surface
• algebraic variety
• Berkovich motive
• birational geometry
• blueprint
• categorical resolution of singularities
• Chevalley's theorem on constructible sets
• closed subscheme
• coherent sheaf
• concentrated scheme
• crystal (algebraic geometry)
• defining sheaf
• distribution on an affine group scheme
• Durov's generalized scheme
• equivariant noncommutative algebraic geometry
• fpqc topology
• Gabriel-Rosenberg theorem
• generic point
• geometrically connected scheme
• Gieseker stability
• Grothendieck ring of varieties
• Hopf-Galois extension
• lambda-connection
• linear algebraic group
• locally algebraic scheme
• Mather-Yau theorem
• mirror map
• modules over a ring are equivalent to quasicoherent sheaves over its spectrum
• monad in algebraic geometry
• motive
• motivic cohomology
• noetherian scheme
• noncommutative algebraic geometry
• noncommutative localization
• noncommutative motive
• noncommutative projective geometry
• noncommutative scheme
• noncommutative thin scheme
• noncommutative toric variety
• normal variety
• open immersion of schemes
• open subscheme
• perverse sheaf
• Pfaffian
• Picard scheme
• Picard-Fuchs equation
• Picard-Lefschetz theory
• Plücker embedding
• projective scheme
• proper morphism
• pure motive
• quasicoherent infinity-stack
• quasicoherent sheaf
• quasicompact morphism
• quasiseparated morphism
• reduced scheme
• regular differential operator
• regular map
• regular scheme
• relative affine n-space
• relative scheme
• relative spectrum
• relativization in algebraic geometry
• resolution of singularities
• rigid analytic motive
• rigidification of a stack
• scheme
• scheme as a locally affine structured (infinity,1)-topos
• Schubert calculus
• semiorthogonal decomposition
• semiseparated scheme
• separated morphism
• separated morphism of schemes
• Serre's theorem on Proj
• sheaf of ideals
• sheaf of meromorphic functions
• spectrum of an abelian category
• structure sheaf
• valuative criterion of separatedness
• Zariski site