A Demailly-Kollár continuity theorem is proved for klt pairs, yielding equality of analytic and divisorial alpha and delta invariants and identifying two local alpha invariants with Li's normalized volume.
(DonghyeonKim)Department of Mathematics, Yonsei University, 50 Yonsei-ro, Seodaemun- gu, Seoul 03722, Republic of Korea Email address:narimial0@gmail.com 30
5 Pith papers cite this work, alongside 3 external citations. Polarity classification is still indexing.
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Finite crepant covers of klt singularities scale normalized volume by the degree of the cover.
For any log Fano cone singularity, the infimum defining the local delta invariant is attained by a torus-invariant quasi-monomial valuation.
α(X,Δ,L) and δ(X,Δ,L) are computed by quasi-monomial valuations for projective klt pairs over algebraically closed fields of char 0, without uncountability assumptions.
The normalized local volume of a non-closed point equals an expression built from the normalized local volumes of closed points.
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