Xuanyu Pan

collaborators

3 papers

math.AG2026

Asymptotic Betti bounds for hypersurfaces in a singular variety

Xuanyu Pan, Dingxin Zhang, Xiping Zhang

We show that for any degree $d$ hypersurface $Y \subset X$ in a possibly singular projective variety $X \subset P^{N}$ , the total Betti number of $Y$ is bounded by $3\text{d…

cs.IT2025

$t$ -Fold $s$ -Blocking Sets and $s$ -Minimal Codes

Hao Chen, Xu Pan, Conghui Xie

Blocking sets and minimal codes have been studied for many years in projective geometry and coding theory. In this paper, we provide a new lower bound on the size of $t$ -fold $s$ -b…

math.AG2025

Automorphism and Cohomology II: Complete intersections

Xi Chen, Xuanyu Pan, Dingxin Zhang

We prove that the automorphism group of a general complete intersection $X$ in a projective space is trivial with a few well-understood exceptions. We also prove that the automorph…

Asymptotic Betti bounds for hypersurfaces in a singular variety

t-Fold s-Blocking Sets and s-Minimal Codes

Automorphism and Cohomology II: Complete intersections

$t$ -Fold $s$ -Blocking Sets and $s$ -Minimal Codes