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On realization of tangent cones of homologically area-minimizing compact singular submanifolds. (English) Zbl 1394.53059

The following question is studied: Can any area-minimizing cone be realized as a tangent cone at a point of some homologically area-minimizing compact singular submanifold?
A positive answer to this question in the case of some oriented area-minimizing cones is established.

MSC:

53C38 Calibrations and calibrated geometries
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