Zijian Zhou

activity

20172020

most citedA bound on the genus of a curve with Cartier operator of small rank

1 citations · 3 across the 3 of their papers we have counts for

collaborators

4 papers

math.AG2020

Ekedahl-Oort strata of curves of genus four in characteristic three

Zijian Zhou

We study the induced Ekedahl-Oort stratification on the moduli space $M_{4}$ of curves of genus $4$ in characteristic $3$ . By constructing families of curves with given Eke…

math.AG2019★ 1 cited

On the existence of curves with prescribed $a$ -number

Zijian Zhou

We study the existence of Artin-Schreier curves with large $a$ -number. We also give bounds on the $a$ -number of trigonal curves of genus $5$ in small characteristic.

math.AG2018★ 1 cited

Ekedahl-Oort strata on the moduli space of curves of genus four

Zijian Zhou

We study the induced Ekedahl-Oort stratification on the moduli of curves of genus 4 in positive characteristic.

math.AG2017★ 1 cited

A bound on the genus of a curve with Cartier operator of small rank

Zijian Zhou

Ekedahl showed that the genus of a curve in characteristic $p > 0$ with zero Cartier operator is bounded by $p (p - 1) /2$ . We show the bound $p + p (p - 1) /2$ in case the rank of the Cartier…

Ekedahl-Oort strata of curves of genus four in characteristic three

On the existence of curves with prescribed a-number

Ekedahl-Oort strata on the moduli space of curves of genus four

A bound on the genus of a curve with Cartier operator of small rank

On the existence of curves with prescribed $a$ -number