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math.AG2026
Coupled Pklt Tuples and Varieties of Pklt Type
Donghyeon Kim, Dae-Won Lee
We introduce asymptotic multiplier ideal sheaves and log canonical thresholds associated with tuples of pseudoeffective divisors on a projective klt pair. We prove that the thresho…
math.AG2026
On the existence of minimizer on a log Fano cone singularity
Donghyeon Kim
We prove that if is a log Fano cone singularity over an uncountable algebraically closed field, and is a -invariant valuation with center…
math.AG2026
Structure of the Anticanonical Minimal Model Program for Potentially klt Pairs
Donghyeon Kim, Dae-Won Lee
We give an alternative proof of the existence of the anticanonical minimal model program for potentially klt pairs, assuming the anticanonical divisor admits a birational Zariski d…