English

Arithmetic genus of integral space curves

Algebraic Geometry 2021-04-16 v2

Abstract

We give an estimation for the arithmetic genus of an integral space curve, which are not contained in a surface of degree k1k-1. Our main technique is the Bogomolov-Gieseker type inequality for P3\mathbb{P}^3 proved by Macri.

Keywords

Cite

@article{arxiv.1605.06888,
  title  = {Arithmetic genus of integral space curves},
  author = {Hao Max Sun},
  journal= {arXiv preprint arXiv:1605.06888},
  year   = {2021}
}
R2 v1 2026-06-22T14:06:54.624Z