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Complex geometry is the study of complex manifolds, complex algebraic varieties, complex analytic spaces, and, by extension, of almost complex structures. It is a part of differential geometry, algebraic geometry and analytic geometry.

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Upper Bound on minimum number of lattice points

How to derive an upper bound on the minimum number $n(k,d)$ of lattice points in $d$-dimensions such that there are some $k$ of these points which have a lattice point centroid.
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