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math.AG2021★ 1 cited
Varieties of general type with doubly exponential asymptotics
Louis Esser, Burt Totaro, Chengxi Wang
We construct smooth projective varieties of general type with the smallest known volume and others with the most known vanishing plurigenera in high dimensions. The optimal volume…
math.AG2021
Klt varieties of general type with small volume
Burt Totaro, Chengxi Wang
By Hacon-McKernan-Xu, there is a positive lower bound in each dimension for the volume of all klt varieties with ample canonical class. We show that these bounds must go to zero ex…