Singularities of codimension two mean curvature flow of symplectic surfaces

Mathematics – Differential Geometry

Scientific paper

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27 pages

Scientific paper

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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