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Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
3
votes
I was wondering if the set of singular loops is a (somewhere) submanifold of loop space?
The following argument I think should work to prove that the answer is no (though I haven't checked whether it really fits in with the proper definition): Consider a loop where three points of $S^1$ m …
14
votes
Accepted
What information does the completion of a stalk at its maximal ideal give us in the holomorp...
First I think you are a little bit unfair when you say that the completion of
the ring of germs of $C^\infty$-functions "contains very little". Mapping a
function into that completion gives you the Ta …
11
votes
Accepted
Can a non-algebraic complex manifold be embedded meromorphically into projective space?
If $X$ is not compact there are loads of problems so I follow you in adding compactness as a condition.
Under the assumption of the question $X$ is bimeromorphic to a projective variety and hence by …