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Modules over rings of differential operators.

8 votes
Accepted

Examples of Stokes data

It helps to understand irregular singularities as the merging of regular singular points, say $$(x^2-a^2)y'+y=0$$ as $a\to0$. For nonzero $a$ the data is encoded as monodromy (constant) matrices actin …
Loïc Teyssier's user avatar
5 votes

Codimension of the range of certain linear operators

The question admits a positive answer when one looks at it for the ring of formal power series $\mathbb R[[x,y]]$. For instance the vector field $x^k\partial_x+y\partial_y$ has a formal cokernel of di …
Loïc Teyssier's user avatar