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arxiv: math/0208227 · v1 · submitted 2002-08-29 · 🧮 math.DG

Singularities of codimension two mean curvature flow of symplectic surfaces

classification 🧮 math.DG
keywords compactcomplexcurvatureflowmeansurfacesymplecticblow-up
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We prove that for a mean curvature flow of a compact symplectic surface in a compact Kaehler-Einstein surface, the tangent cone at the first blow-up time consists of a finite union of more than two 2-planes in $R^4$ which are complex in a complex structure on $R^4$.

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