English

Determinant method and the pseudo-effective threshold

Number Theory 2021-05-12 v4 Algebraic Geometry

Abstract

In this paper, we will give an upper bound of the number of auxiliary hypersurfaces in the determinant method, which reformulates an unpublished work of Salberger by Arakelov geometry. One of the key constants will be determined by the pseudo-effective threshold of certain line bundles.

Keywords

Cite

@article{arxiv.1910.00306,
  title  = {Determinant method and the pseudo-effective threshold},
  author = {Chunhui Liu},
  journal= {arXiv preprint arXiv:1910.00306},
  year   = {2021}
}

Comments

29 pages, a gap was repaired

R2 v1 2026-06-23T11:31:25.482Z