267 research outputs found
ACC of plc thresholds
In this paper, we define potential log canonical threshold and prove that the
set of those thresholds satisfies the ascending chain condition (ACC). We also
consider collections of sequences of Fano type varieties and we study their
basic properties including boundedness
Adjoint asymptotic multiplier ideal sheaves
In this paper, we initiate the study of a triple which
consists of a pair and a polarizing pseudoeffective divisor .
The adjoint asymptotic multiplier ideal sheaf associated to the triple gives a simultaneous generalization of the
multiplier ideal sheaf and asymptotic multiplier ideal sheaf
. We describe the closed set defined by the ideal
sheaf in terms of the minimal model
program. We also characterize the case where . Lastly, we also prove a Nadel type vanishing theorem of
cohomology using
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