Hyperdiscriminant Polytopes, Chow Polytopes, and Mabuchi Energy Asymptotics
نویسنده
چکیده
Let X ↪→ P be a smooth, linearly normal algebraic variety. It is shown that the Mabuchi energy of (X,ωFS |X) restricted to the Bergman metrics is completely determined by the X-hyperdiscriminant of format (n− 1) and the Chow form of X . As a corollary it is shown that the Mabuchi energy is bounded from below for all degenerations in G if and only if the hyperdiscriminant polytope dominates the Chow polytope for all maximal algebraic tori H of G. CONTENTS
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تاریخ انتشار 2009