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This book examines holomorphic Morse inequalities and the asymptotic expansion of the Bergman kernel on manifolds by using the heat kernel. It opens perspective
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This edited volume has a two-fold purpose. First, comprehensive survey articles provide a way for beginners to ease into the corresponding sub-fields. These are
An Introduction to Extremal Kahler Metrics
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A basic problem in differential geometry is to find canonical metrics on manifolds. The best known example of this is the classical uniformization theorem for R
Analytic Methods in Algebraic Geometry
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Lectures on Arakelov Geometry
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An account for graduate students of this new technique in diophantine geometry; includes account of higher dimensional theory.