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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...

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Bibliographic Details
Main Author: Green, M. (Mark)
Format: Electronic eBook
Language:Inglés
Published: Princeton : Princeton University Press, 2004.
Series:Book collections on Project MUSE.
Subjects:
Online Access:Texto completo
Table of Contents:
  • 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 T̳Z
  • Chapter Six. Absolute Differentials (II)
  • Chapter Seven. The Ext-definition of TZ
  • Chapter Eight. Tangents to Related Spaces
  • Chapter Nine. Applications and Examples
  • Chapter Ten. Speculations and Questions
  • Bibliography
  • Index.