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Singularities in algebraic/complex/differential geometry and analysis of ODEs/PDEs. Singular spaces, vector fields, etc.
2
votes
2
answers
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singularities of the dual variety of a surface
I am looking for a proof/reference of the following simple fact, which I think it holds true.
Let $S\subset \mathbb{P}^n$ be a surface embedded by a very ample linear system. Then I know that the dua …
0
votes
0
answers
186
views
projective map from $\overline{\mathcal{M}}_{0,n}$
Suppose I have a morphism $f:\overline{\mathcal{M}}_{0,n} \to \mathbb{P}^N$ birational onto its image, and I know exactly what $F$-curves are contracted (or "dually", what divisors are contracted). Su …
3
votes
singularities of the dual variety of a surface
The answer is yes, the claim is true. Moreover, as long as the dual variety is an irreducible hypersurface (i.e. most cases), then the claim on the singularity of the plane section holds true for any …
3
votes
1
answer
340
views
$A_{\infty}$ singularity
What kind of singularity is commonly meant by $A_{\infty}$?