1 citations · 2 across the 4 of their papers we have counts for
5 papers
Deformations of fibered Calabi--Yau varieties
Benjamin Bakker, Kristin DeVleming, Stefano Filipazzi +5
Kollár showed that small deformations of elliptically fibered smooth -torsion varieties with remain elliptically fibered. We extend this result to any f…
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…
On explicit birational geometry for minimal n-folds of canonical dimension n-1
Meng Chen, Louis Esser, Chengxi Wang
Let be any integer. We study the optimal lower bound of the canonical volume and the optimal upper bound of the canonical stability index for min…
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…
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…