Description

Book Synopsis
Mark Green and Phillip Griffiths set forth the initial stages of an infinitesimal theory for algebraic cycles. The book aims in part to understand the geometric basis and the limitations of Spencer Bloch's beautiful formula for the tangent space to Chow groups.

Table of Contents
*Frontmatter, pg. i*Contents, pg. v*Abstract, pg. 1*Chapter One. Introduction, pg. 3*Chapter Two. The Classical Case When n = 1, pg. 22*Chapter Three. Differential Geometry of Symmetric Products, pg. 31*Chapter Four. Absolute Differentials (I), pg. 42*Chapter Five Geometric Description of T Zn(X), pg. 54*Chapter Six. Absolute Differentials (II), pg. 61*Chapter Seven. The Ext-definition of TZ2(X) for X an Algebraic Surface, pg. 84*Chapter Eight. Tangents to Related Spaces, pg. 100*Chapter Nine. Applications and Examples, pg. 150*Chapter Ten. Speculations and Questions, pg. 186*Bibliography, pg. 195*Index, pg. 199

On the Tangent Space to the Space of Algebraic

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    A Paperback / softback by Mark Green, Phillip A. Griffiths

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      View other formats and editions of On the Tangent Space to the Space of Algebraic by Mark Green

      Publisher: Princeton University Press
      Publication Date: Publication Date: 09/01/2005
      ISBN13: 9780691120447, 978-0691120447
      ISBN10: 0691120447

      Description

      Book Synopsis
      Mark Green and Phillip Griffiths set forth the initial stages of an infinitesimal theory for algebraic cycles. The book aims in part to understand the geometric basis and the limitations of Spencer Bloch's beautiful formula for the tangent space to Chow groups.

      Table of Contents
      *Frontmatter, pg. i*Contents, pg. v*Abstract, pg. 1*Chapter One. Introduction, pg. 3*Chapter Two. The Classical Case When n = 1, pg. 22*Chapter Three. Differential Geometry of Symmetric Products, pg. 31*Chapter Four. Absolute Differentials (I), pg. 42*Chapter Five Geometric Description of T Zn(X), pg. 54*Chapter Six. Absolute Differentials (II), pg. 61*Chapter Seven. The Ext-definition of TZ2(X) for X an Algebraic Surface, pg. 84*Chapter Eight. Tangents to Related Spaces, pg. 100*Chapter Nine. Applications and Examples, pg. 150*Chapter Ten. Speculations and Questions, pg. 186*Bibliography, pg. 195*Index, pg. 199

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