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math.AG2022
Calabi-Yau varieties of large index
Louis Esser, Burt Totaro, Chengxi Wang
Call a projective variety Calabi-Yau if its canonical divisor is -linearly equivalent to zero. The smallest positive integer with linearly equivalent to zer…
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…