5 citations · 7 across the 3 of their papers we have counts for
4 papers
On cyclic strong exceptional collections of line bundles on surfaces
Alexey Elagin, Junyan Xu, Shizhuo Zhang
We study exceptional collections of line bundles on surfaces. We prove that any full cyclic strong exceptional collection of line bundles on a rational surface is an augmentation i…
Burgess bounds for short character sums evaluated at forms
Lillian B. Pierce, Junyan Xu
In this work we establish a Burgess bound for short multiplicative character sums in arbitrary dimensions, in which the character is evaluated at a homogeneous form that belongs to…
On exceptional collections of line bundles on weak del Pezzo surfaces
Alexey Elagin, Junyan Xu, Shizhuo Zhang
We study full exceptional collections of line bundles on surfaces. We prove that any full strong exceptional collection of line bundles on a weak del Pezzo surface of degree $\ge 3…
Stratification for multiplicative character sums
Junyan Xu
We prove a stratification result for certain families of -dimensional (complete algebraic) multiplicative character sums. The character sums we consider are sums of products of…