10 citations · 44 across the 8 of their papers we have counts for
8 papers
On global ACC for foliated threefolds
Jihao Liu, Yujie Luo, Fanjun Meng
In this paper, we prove the rational coefficient case of the global ACC for foliated threefolds. Specifically, we consider any lc foliated log Calabi-Yau triple …
Second largest accumulation point of minimal log discrepancies of threefolds
Jihao Liu, Yujie Luo
The second largest accumulation point of the set of minimal log discrepancies of threefolds is . In particular, the minimal log discrepancies of -lc three…
ACC for minimal log discrepancies of terminal threefolds
Jingjun Han, Jihao Liu, Yujie Luo
We prove that the ACC conjecture for minimal log discrepancies holds for threefolds in , where only depends on the coefficient set. We also study Reid's genera…
Shokurov's conjecture on conic bundles with canonical singularities
Jingjun Han, Chen Jiang, Yujie Luo
A conic bundle is a contraction between normal varieties of relative dimension such that is relatively ample. We prove a conjecture of Shokurov which predicts t…
On boundedness of divisors computing minimal log discrepancies for surfaces
Jingjun Han, Yujie Luo
Let be a finite set, and a fixed klt germ. For any lc germ such that , Nakamura's conjecture, which is equivalent to the ACC co…
Dispersion relations of periodic quantum graphs associated with Archimedean tilings (II)
Yu-Chen Luo, Eduardo O. Jatulan, Chun-Kong Law
We continue the work of a previous paper \cite{LJL} to derive the dispersion relations of the periodic quantum graphs associated with the remaining 5 of the 11 Archimedean tilings,…
Dispersion relations of periodic quantum graphs associated with Archimedean tiling (I)
Yu-Chen Luo, Eduardo O. Jatulan, Chun-Kong Law
There are totally 11 kinds of Archimedean tiling for the plane. Applying the Floquet-Bloch theory, we derive the dispersion relations of the periodic quantum graphs associated with…
Witten Deformation And Some Topics Relating To It
Yujie Luo
This is a simple reading report of professor Weiping Zhang's lectures. In this article we will mainly introduce the basic ideas of Witten deformation, which were first introduced b…