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Minimal model program for Kaehler threefolds. Lecture 1 Aleksey Golotaab a National Research University "Higher School of Economics" (HSE), Moscow b International laboratory for Mirror Symmetry and Automorphic Forms, National Research University "Higher School of Economics" (HSE), Moscow |
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Abstract: Following recent works of A. Hoering and T. Peternell, I will describe the construction of minimal models for compact Kaehler manifolds of dimension three. In particular, I will concentrate on those fundamental difficulties which distinguish the Kaehler case from the case of a projective variety. Also I will desribe the tools from complex analytic geometry which are useful in dealing with the aforementioned problems.
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