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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis
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Test Configurations, Stabilities and Canonical Kahler Metrics - Complex Geometry by the Energy Method (Paperback, 1st ed. 2021)
Loot Price: R1,829
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Test Configurations, Stabilities and Canonical Kahler Metrics - Complex Geometry by the Energy Method (Paperback, 1st ed. 2021)
Series: SpringerBriefs in Mathematics
Expected to ship within 10 - 15 working days
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The Yau-Tian-Donaldson conjecture for anti-canonical polarization
was recently solved affirmatively by Chen-Donaldson-Sun and Tian.
However, this conjecture is still open for general polarizations or
more generally in extremal Kahler cases. In this book, the unsolved
cases of the conjecture will be discussed.It will be shown that the
problem is closely related to the geometry of moduli spaces of test
configurations for polarized algebraic manifolds. Another important
tool in our approach is the Chow norm introduced by Zhang. This is
closely related to Ding's functional, and plays a crucial role in
our differential geometric study of stability. By discussing the
Chow norm from various points of view, we shall make a systematic
study of the existence problem of extremal Kahler metrics.
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