18 citations · 36 across the 9 of their papers we have counts for
9 papers
A Note on Spherical Bundles on K3 Surfaces
Chunyi Li, Shengxuan Liu
Some questions are posted at the end of Chapter 16 of Huybrechts' book 'Lectures on K3 Surfaces', concerning the bounded derived category of a K3 surface . Let be a sph…
Kernels of categorical resolutions of nodal singularities
Warren Cattani, Franco Giovenzana, Shengxuan Liu +4
In this paper we study derived categories of nodal singularities. We show that for all nodal singularities there is a categorical resolution whose kernel is generated by a or $…
Moments of Central -values for Maass Forms over Imaginary Quadratic Fields
Sheng-Chi Liu, Zhi Qi
In this paper, over imaginary quadratic fields, we consider the family of -functions for an orthonormal basis of spherical Hecke--Maass forms with Archimedean par…
Stability condition on Calabi-Yau threefold of complete intersection of quadratic and quartic hypersurfaces
Shengxuan Liu
In this paper, we prove a Clifford type inequality for the curve , which is the intersection of a quartic and three general quadratics in . We thus prove…
Low-lying zeros of -functions for Maass forms over imaginary quadratic fields
Sheng-Chi Liu, Zhi Qi
We study the - or -level density of families of -functions for Hecke--Maass forms over an imaginary quadratic field . For test functions whose Fourier transform is supp…
Low-lying zeros for L-functions associated to Hilbert modular forms of large level
Sheng-Chi Liu, Steven J. Miller
We determine the 1-level density of families of Hilbert modular forms, and show the answer agrees only with orthogonal random matrix ensembles.
The restriction norm of a Maass form on
Xiaoqing Li, Sheng-Chi Liu, Matthew P. Young
We discuss upper and lower bounds for the restriction norm of a Maass form on $\SL{n+1}{Z}$.
Simple zeros of primitive Dirichlet -functions and the asymptotic large sieve
Vorrapan Chandee, Yoonbok Lee, Sheng-chi Liu +1
Assuming the Generalized Riemann Hypothesis (GRH), we show using the asymptotic large sieve that 91% of the zeros of primitive Dirichlet -functions are simple. This improves on…
Subconvexity and equidistribution of Heegner points in the level aspect
Sheng-Chi Liu, Riad Masri, Matthew P. Young
Let q be a prime and -D < -4 be an odd fundamental discriminant such that q splits in Q(\sqrt{-D}). For f a weight zero Hecke-Maass newform of level q and h the weight one theta se…