2 citations · 5 across the 6 of their papers we have counts for
6 papers
Contraction theorem for generalized pairs
Lingyao Xie
We use Kollár's gluing theory to prove the contraction theorem for generalized pairs. In particular, we show that we can run the MMP for any generalized log canonical pairs.
On generalized lc pairs with -log abundant nef part
Junpeng Jiao, Jihao Liu, Lingyao Xie
We study the behavior of generalized lc pairs with -log abundant nef part, a meticulously designed structure on algebraic varieties. We show that this structure…
On the fixed part of pluricanonical systems for surfaces
Jihao Liu, Lingyao Xie
We show that defines a birational map and has no fixed part for some bounded positive integer for any -lc surface such that is big and nef. For…
Rational nef and anti-nef polytopes are not uniform
Lingyao Xie
We give two examples which show that rational nef and anti-nef polytopes are not uniform even for klt surface pairs, answering a question of Chen-Han. We also show that rational ne…
Number of singular points on projective surfaces
Jihao Liu, Lingyao Xie
The number of singular points on a klt Fano surface is .
Divisors computing minimal log discrepancies on lc surfaces
Jihao Liu, Lingyao Xie
Let be an lc surface germ. If is klt, we show that there exists a divisor computing the minimal log discrepancy of that is a Kollár component of…