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18 relations: Algebraic geometry, Algebraic space, Arithmetic genus, Coherent sheaf, David Mumford, Glossary of algebraic geometry, Groupoid, Groupoid object, Michael Artin, Moduli of algebraic curves, Morphism of algebraic stacks, Pierre Deligne, Proper morphism, Publications Mathématiques de l'IHÉS, Quotient stack, Smooth morphism, Stable curve, Stack (mathematics).
Algebraic geometry
Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials.
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Algebraic space
In mathematics, algebraic spaces form a generalization of the schemes of algebraic geometry, introduced by for use in deformation theory.
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Arithmetic genus
In mathematics, the arithmetic genus of an algebraic variety is one of a few possible generalizations of the genus of an algebraic curve or Riemann surface.
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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 properties of the underlying space.
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David Mumford
David Bryant Mumford (born 11 June 1937) is an American mathematician known for distinguished work in algebraic geometry, and then for research into vision and pattern theory.
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Glossary of algebraic geometry
This is a glossary of algebraic geometry.
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Groupoid
In mathematics, especially in category theory and homotopy theory, a groupoid (less often Brandt groupoid or virtual group) generalises the notion of group in several equivalent ways.
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Groupoid object
In category theory, a groupoid object in a category C admitting finite fiber products is a pair of objects R, U together with five morphisms s, t: R \to U, e: U \to R, m: R \times_ R \to R, i: R \to R satisfying the following groupoid axioms.
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Michael Artin
Michael Artin (born 28 June 1934) is an American mathematician and a professor emeritus in the Massachusetts Institute of Technology mathematics department, known for his contributions to algebraic geometry.
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Moduli of algebraic curves
In algebraic geometry, a moduli space of (algebraic) curves is a geometric space (typically a scheme or an algebraic stack) whose points represent isomorphism classes of algebraic curves.
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Morphism of algebraic stacks
In algebraic geometry, given algebraic stacks p: X \to C, \, q: Y \to C over a base category C, a morphism f: X \to Y of algebraic stacks is a functor such that q \circ f.
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Pierre Deligne
Pierre René, Viscount Deligne (born 3 October 1944) is a Belgian mathematician.
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Proper morphism
In algebraic geometry, a proper morphism between schemes is an analog of a proper map between complex analytic spaces.
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Publications Mathématiques de l'IHÉS
Publications Mathématiques de l'IHÉS is a mathematical journal.
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Quotient stack
In algebraic geometry, a quotient stack is a stack that parametrizes equivariant objects.
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Smooth morphism
In algebraic geometry, a morphism f:X \to S between schemes is said to be smooth if.
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Stable curve
In algebraic geometry, a stable curve is an algebraic curve that is asymptotically stable in the sense of geometric invariant theory.
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Stack (mathematics)
In mathematics a stack or 2-sheaf is, roughly speaking, a sheaf that takes values in categories rather than sets.
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