New PDF release: Lectures on Kähler Geometry (London Mathematical Society

By Andrei Moroianu

Kähler geometry is a gorgeous and exciting zone of arithmetic, of considerable learn curiosity to either mathematicians and physicists. This self-contained graduate textual content offers a concise and obtainable creation to the subject. The e-book starts off with a evaluate of uncomplicated differential geometry, ahead of relocating directly to an outline of advanced manifolds and holomorphic vector bundles. Kähler manifolds are mentioned from the perspective of Riemannian geometry, and Hodge and Dolbeault theories are defined, including an easy evidence of the well-known Kähler identities. the ultimate a part of the textual content reports a number of points of compact Kähler manifolds: the Calabi conjecture, Weitzenböck strategies, Calabi–Yau manifolds, and divisors. All sections of the e-book finish with a chain of routines and scholars and researchers operating within the fields of algebraic and differential geometry and theoretical physics will locate that the booklet presents them with a valid figuring out of this theory.

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Lectures on Kähler Geometry (London Mathematical Society Student Texts) by Andrei Moroianu

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