Xuanyu Pan

activity

20172026

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.AG2017

1-Cycles on Fano varieties

Cristian Minoccheri, Xuanyu Pan

We prove results about 1-cycles on certain Fano varieties using techniques that rely on rational curves. Firstly, we show that Fano weighted complete intersections with index bigge…

Asymptotic Betti bounds for hypersurfaces in a singular variety

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

1-Cycles on Fano varieties

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