The dimension of the space of Garnier equations with fixed locus of apparent singularities

Details The dimension of the space of Garnier equations with fixed locus of apparent singularities The dimension of the space of Garnier equations with fixed locus of apparent singularities

2011-02-18

arxiv.org/abs/1102.3858v1

Mathematics

Algebraic Geometry

8 pages

Scientific paper

We show that the conditions imposed on a second order linear differential equation with rational coefficients on the complex line by requiring it to have regular singularities with fixed eigenvalues of the residue at the points of a finite set $P$ and apparent singularities at a finite set $Q$ (disjoint from $P$) determine a linear system of maximal rank. We conclude that the family of such differential equations is of the expected dimension.

Affiliated with

Also associated with

No associations

Rating

The dimension of the space of Garnier equations with fixed locus of apparent singularities does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The dimension of the space of Garnier equations with fixed locus of apparent singularities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The dimension of the space of Garnier equations with fixed locus of apparent singularities will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-213142