On the Tangent Space to the Space of Algebraic Cycles on a Smooth Algebraic Variety. (AM-157) /

In recent years, considerable progress has been made in studying algebraic cycles using infinitesimal methods. These methods have usually been applied to Hodge-theoretic constructions such as the cycle class and the Abel-Jacobi map. Substantial advances have also occurred in the infinitesimal theory...

Descripción completa

Detalles Bibliográficos
Autores principales: Green, Mark (Autor), Griffiths, Phillip A. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, NJ : Princeton University Press, [2004]
Edición:Course Book
Colección:Annals of Mathematics Studies ; 157
Temas:
MATHEMATICS / Algebra / Abstract.
Addition.
Algebraic K-theory.
Algebraic character.
Algebraic curve.
Algebraic cycle.
Algebraic function.
Algebraic geometry.
Algebraic number.
Algebraic surface.
Algebraic variety.
Analytic function.
Approximation.
Arithmetic.
Chow group.
Codimension.
Coefficient.
Coherent sheaf cohomology.
Coherent sheaf.
Cohomology.
Cokernel.
Combination.
Compass-and-straightedge construction.
Complex geometry.
Complex number.
Computable function.
Conjecture.
Coordinate system.
Coprime integers.
Corollary.
Cotangent bundle.
Diagram (category theory).
Differential equation.
Differential form.
Differential geometry of surfaces.
Dimension (vector space).
Dimension.
Divisor.
Duality (mathematics).
Elliptic function.
Embedding.
Equation.
Equivalence class.
Equivalence relation.
Exact sequence.
Existence theorem.
Existential quantification.
Fermat's theorem.
Formal proof.
Fourier.
Free group.
Functional equation.
Generic point.
Geometry.
Group homomorphism.
Hereditary property.
Hilbert scheme.
Homomorphism.
Injective function.
Integer.
Integral curve.
K-group.
K-theory.
Linear combination.
Mathematics.
Moduli (physics).
Moduli space.
Multivector.
Natural number.
Natural transformation.
Neighbourhood (mathematics).
Open problem.
Parameter.
Polynomial ring.
Principal part.
Projective variety.
Quantity.
Rational function.
Rational mapping.
Reciprocity law.
Regular map (graph theory).
Residue theorem.
Root of unity.
Scientific notation.
Sheaf (mathematics).
Smoothness.
Statistical significance.
Subgroup.
Summation.
Tangent space.
Tangent vector.
Tangent.
Terminology.
Tetrahedron.
Theorem.
Transcendental function.
Transcendental number.
Uniqueness theorem.
Vector field.
Vector space.
Zariski topology.
Acceso en línea:Texto completo
Texto completo
Tabla de Contenidos:
  • Frontmatter
  • Contents
  • Abstract
  • Chapter One. Introduction
  • Chapter Two. The Classical Case When n = 1
  • Chapter Three. Differential Geometry of Symmetric Products
  • Chapter Four. Absolute Differentials (I)
  • Chapter Five Geometric Description of T̳Zn(X)
  • Chapter Six. Absolute Differentials (II)
  • Chapter Seven. The Ext-definition of TZ2(X) for X an Algebraic Surface
  • Chapter Eight. Tangents to Related Spaces
  • Chapter Nine. Applications and Examples
  • Chapter Ten. Speculations and Questions
  • Bibliography
  • Index

Ejemplares similares