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

On the Tangent Space to the Space of Algebraic Cycles on a Smooth Algebraic Variety. (AM-157)
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On the Tangent Space to the Space of Algebraic Cycles on a Smooth Algebraic Variety. (AM-157), , On the Tangent Space to the Space of Algebraic Cycles on a Smooth Algebraic Variety. (AM-157)
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  • On the Tangent Space to the Space of Algebraic Cycles on a Smooth Algebraic Variety. (AM-157)
  • Written by author Mark Green
  • Published by Princeton University Press, December 2004
  • 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 h
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Book Categories

Authors

Ch. 1Introduction3
Ch. 2The classical case when n = 122
Ch. 3Differential geometry of symmetric products31
Ch. 4Absolute differentials (I)42
Ch. 5Geometric description of [actual symbol not reproducible]Z[superscript n](X)54
Ch. 6Absolute differentials (II)61
Ch. 7The Ext-definition of TZ[superscript 2](X) for X an algebraic surface84
Ch. 8Tangents to related spaces100
Ch. 9Applications and examples150
Ch. 10Speculations and questions186


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