Boundedness of Weak Fano Pairs with Alpha-Invariants and Volumes Bounded Below

  • Weichung Chen

    The University of Tokyo, Japan
Boundedness of Weak Fano Pairs with Alpha-Invariants and Volumes Bounded Below cover
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Abstract

We show that fixed-dimensional klt weak Fano pairs with alpha-invariants and volumes bounded away from and the coefficients of the boundaries belonging to the set of hyperstandard multiplicities associated to a fixed finite set form a bounded family. We also show are bounded from above for all klt weak Fano pairs of a fixed dimension .

Cite this article

Weichung Chen, Boundedness of Weak Fano Pairs with Alpha-Invariants and Volumes Bounded Below. Publ. Res. Inst. Math. Sci. 56 (2020), no. 3, pp. 539–559

DOI 10.4171/PRIMS/56-3-4