Picard-Fuchs equations, Integrable Systems, and higher Algebraic K-theory
Algebraic Geometry
2014-10-24 v2 Complex Variables
Dynamical Systems
K-Theory and Homology
Symplectic Geometry
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.
Cite
@article{arxiv.math/0207196,
title = {Picard-Fuchs equations, Integrable Systems, and higher Algebraic K-theory},
author = {Pedro L. del Angel and Stefan Müller-Stach},
journal= {arXiv preprint arXiv:math/0207196},
year = {2014}
}
Comments
16 pages, revised version has only minor changes