15 citations · 24 across the 5 of their papers we have counts for
6 papers
Vanishing theorems for generalized pairs
Bingyi Chen, Jihao Liu, Lingyao Xie
We establish the Kodaira vanishing theorem and the Kawamata-Viehweg vanishing theorem for lc generalized pairs. As a consequence, we provide a new proof of the base-point-freeness…
Optimal bound for singularities on Fano type fibrations of relative dimension one
Bingyi Chen
Let be a Fano type fibration with and let be an -lc pair with $K_X+B\sim_{\RR} 0/Z$. The canonical bundle formula gives $(Z,B_Z+M_Z)…
Upper bound of discrepancies of divisors computing minimal log discrepancies on surfaces
Bingyi Chen
Fix a subset such that . We give a explicit upper bound …
Vanishing for Hodge ideals of -divisors
Bingyi Chen
Mustaţă a and Popa introduce the notion of Hodge ideals for an effective -divisor and prove a vanishing theorem for Hodge ideals, which generalizes Nadel vanishing…
4d N=2 SCFT and singularity theory Part III: Rigid singularity
Bingyi Chen, Dan Xie, Stephen S. -T. Yau +2
We classify three fold isolated quotient Gorenstein singularity . These singularities are rigid, i.e. there is no non-trivial deformation, and we conjecture that they define…
4d N=2 SCFT and singularity theory Part II: Complete intersection
Bingyi Chen, Dan Xie, Shing-Tung Yau +2
We classify three dimensional isolated weighted homogeneous rational complete intersection singularities, which define many new four dimensional N=2 superconformal field theories.…