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arXiv 0811.25442008-11-16math.DGmath.AG

射影对偶与K-能量渐近性

Projective duality and K-energy asymptotics

Sean Timothy Paul

备注：: 27 pages

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摘要：

设X是光滑的、线性正规的n维复射影簇.设X的投射对偶与定义多项式D（X）有余维数1。本文将D（X）的范数的对数表示为对X上能量泛函的Bergman度量的限制。我们展示了如何，光滑的平面曲线，这个能量泛函减少到标准的行动功能的Kahler几何。

英文摘要：

Let X be a smooth, linearly normal n dimensional complex projective variety. Assume that the projective dual of X has codimension one with defining polynomial D(X). In this paper the log of the norm of D(X) is expressed as the restriction to the Bergman metrics of an energy functional on X. We show how, for smooth plane curves, this energy functional reduces to the standard action functionals of Kahler geometry.

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