Preprint No. A-04-02

Georg Hein

Green currents on Kähler manifolds

Abstract: We present an approach to the Green operator and to Green currents for homogeneous Kähler manifolds. To obtain Green currents for a cycle $Y$ in a Kähler manifold $X$ we apply the heat kernel to the Dirac distribution $\delta_Y$. This yields a unique Green current $g_Y$. We discuss how this current can be effectively computed for Grassmannians.

Keywords: Green current, Kähler manifold, intersection theory, heat kernel

Mathematics Subject Classification (MSC2000): 32W30, 32Q15, 14G40

Language: ENG

Available: Pr-A-04-02.ps, Pr-A-04-02.ps.gz

Contact: Georg Hein, Freie Universität Berlin, Fachbereich Mathematik und Informatik, Arnimallee 2-6, D-14195 Berlin, Germany (ghein@math.fu-berlin.de)

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