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Article overview
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Picard-Fuchs equations, Integrable Systems, and higher Algebraic K-theory | | Pedro L. del Angel
; Stefan Mueller-Stach
; | | Date: |
22 Jul 2002 | | Subject: | Algebraic Geometry; Complex Variables; Dynamical Systems; K-Theory and Homology; Symplectic Geometry | math.AG math.CV math.DS math.KT math.SG | | Affiliation: | Cimat, Guanajuato), Stefan Mueller-Stach (Essen | | Abstract: | This paper continues our previous work done in math.AG/0008207 and is an attempt to establish a conceptual framework which generalizes the work of Manin on the relation between non-linear second order ODEs of type Painleve VI and integrable systems. The principle behind everything is a strong interaction between K-theory and Picard-Fuchs type differential equations via Abel-Jacobi maps. Our main result is an extension of a theorem of Donagi and Markman to our setup. | | Source: | arXiv, math.AG/0207196 | | Services: | Forum | Review | PDF | Favorites | |
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