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25 April 2024
 
  » arxiv » math.AG/0305288

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Differential Systems associated to Families of Algebraic Cycles
Pedro Luis del Angel ; Stefan Müller-Stach ;
Date 20 May 2003
Subject Algebraic Geometry; Dynamical Systems; K-Theory and Homology MSC-class: 14C25 (primary); 19D55 (secondary); 37J05 (secondary) | math.AG math.DS math.KT
AbstractWe develop a theory of differential systems associated to families of algebraic cycles in higher Chow groups (i.e., motivic cohomology groups) related to Picard--Fuchs type inhomogenous differential equations. Using this we are able to give applications to algebraic cycles by studying the resulting inhomogenous differential equations.
Source arXiv, math.AG/0305288
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