Journal
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES
Volume 56, Issue 3, Pages 539-559Publisher
KYOTO UNIV, PUBLICATIONS RESEARCH INST MATHEMATICAL SCIENCES
DOI: 10.4171/PRIMS/56-3-4
Keywords
Fano pairs; boundedness; alpha-invariants
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Funding
- Japan-Taiwan Exchange Association Scholarship
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We show that fixed-dimensional klt weak Fano pairs with alpha-invariants and volumes bounded away from 0 and the coefficients of the boundaries belonging to the set of hyperstandard multiplicities Phi(R) associated to a fixed finite set R form a bounded family. We also show alpha(X, B)(d-1)vol(-(K-X + B)) are bounded from above for all klt weak Fano pairs (X, B) of a fixed dimension d.
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