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Results tagged with reference-request
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user 9871
This tag is used if a reference is needed in a paper or textbook on a specific result.
27
votes
"The complex version of Nash's theorem is not true"
As Faisal says, there is no hope to have a general Nash-type theorem for all complex manifold, when the ambient space considered for the (isometric) embedding is some $\mathbb C^N$: no compact complex …
- 7,902
4
votes
Hermitian Christoffel Symbols
Try to look at the book "Foundation of differential geometry" by Kobayashi and Numizu. You will find what you need (at least in the case of Kähler metrics) in Volume II, Chapter IX, Section 5.
- 7,902
3
votes
Accepted
If $L$ is positive, $E\otimes L^k$ is Nakano positive for some $k$
This follows by the following general, quite elementary
Fact. Suppose you have a complex vector bundle $E\to X$ on a compact manifold $X$ and two hermitian form $h_1$ and $h_2$ on $E$, such that th …
- 7,902
6
votes
References for the minimal model program
Of course it depends mostly on your background. But the first chapter, as well as the first half of the second chapter of Kollár-Mori's "Birational Geometry of Algebraic Varieties" is an incredibly in …
- 7,902