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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 | Abstract: | We 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 | Services: | Forum | Review | PDF | Favorites |
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