Arithmetic genus of integral space curves

Czechoslovak Mathematical Journal

Hao Sun¹ 

关键词: space curve;    arithmetic genus;    Bridgeland stability;    Bogomolov-Gieseker inequality;   

DOI  :  10.21136/CMJ.2017.0093-17

学科分类：数学（综合）

来源: Akademie Ved Ceske Republiky

【 摘 要 】

  We give an estimation for the arithmetic genus of an integral space curve which is not contained in a surface of degree $k-1$. Our main technique is the Bogomolov-Gieseker type inequality for $\mathbb{P}^3$ proved by Macri.

【 授权许可】

Unknown