6 papers · 1 filter
Small-Subgroup Criteria for Liftability of Automorphism Groups of Smooth Hypersurfaces
Baiting Xie, Zhiwei Zheng
In this paper, building on our previous Sylow criteria, we establish small-subgroup criteria of liftability and -liftability for the linear automorphism group of smooth hype…
Sylow Criteria for Liftability of Automorphism Groups of Smooth Hypersurfaces
Baiting Xie, Zhiwei Zheng
In this paper, we first establish Sylow criteria for liftability of finite subgroups of the projective linear groups over arbitrary field. We also obtain Sylow criteria for -lif…
Combinatorial Nonresonance Theorems for Hyperplane Arrangement Complements
Baiting Xie
We study the nonresonance phenomenon for complex rank-one local systems on complements of hyperplane arrangements. We refine the method of Cohen, Dimca, and Orlik and obtain a comb…
Log-concavity from enumerative geometry of planar curve singularities
Tao Su, Baiting Xie, Chenglong Yu
We propose a log-concavity conjecture for BPS invariants arising in the enumerative geometry of planar curve singularities, identified with the local Euler obstructions of Severi s…
Homology of Local Systems on Real Line Arrangement Complements
Baiting Xie, Chenglong Yu
We study the homology groups of the complement of a complexified real line arrangement with coefficients in complex rank-one local systems. Using Borel--Moore homology, we establis…
The{N/D}-Conjecture for Nonresonant Hyperplane Arrangements
Baiting Xie, Chenglong Yu
This paper studies Bernstein--Sato polynomials for homogeneous polynomials of degree with variables. It is open to know when is a root of $b_{f,…