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Results tagged with ag.algebraic-geometry
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user 21907
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
8
votes
PDEs and algebraic varieties
A most important result is missing in the previous answers, namely the characterization by Lars Hörmander of hypoellipticity in his seminal paper,
On the theory of general partial differential operato …
- 16.2k
3
votes
1
answer
210
views
Pythagorean number in Artin's theorem on nonnegative rational fractions
Emil Artin's theorem on nonnegative rational fractions says that a rational fraction $Q$ with $n$ variables with real coefficients which is non-negative on $\mathbb R^n$ is a sum of squares of rationa …
- 16.2k
3
votes
Accepted
Is there a useful theory of D-modules on smooth (non-analytic) manifolds?
Your « outsider » hunch is correct. Basically, the fact that there exist $C^\infty$ functions which are nowhere analytic is ruining the D-modules approach. It is in fact even worse: there exist $C^\in …
- 16.2k