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A guided tour to normalized volume. (English) Zbl 1440.14015

Chen, Jingyi (ed.) et al., Geometric analysis. In honor of Gang Tian’s 60th birthday. Cham: Birkhäuser. Prog. Math. 333, 167-219 (2020).
Summary: This is a survey on the recent theory on minimizing the normalized volume function attached to any klt singularities.
For the entire collection see [Zbl 1446.58001].

MSC:

14B05 Singularities in algebraic geometry
14J45 Fano varieties
53C55 Global differential geometry of Hermitian and Kählerian manifolds
13A35 Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure
14E30 Minimal model program (Mori theory, extremal rays)
14-02 Research exposition (monographs, survey articles) pertaining to algebraic geometry
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References:

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