Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4584796 | Journal of Algebra | 2014 | 39 Pages |
Abstract
Given a connection on a meromorphic vector bundle over a compact Riemann surface with reductive differential Galois group, we associate to it a projective variety. Connections such that their associated projective variety is curves can be classified, up to projective equivalence, using ruled surfaces. In particular, such a meromorphic connection is the pullback of a standard connection. This extends a similar result by Klein for second-order ordinary linear differential equations to a broader class of equations.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Camilo Sanabria Malagón,