English

A note on polarized varieties with high nef value

Algebraic Geometry 2022-10-11 v1

Abstract

We study the classification problem for polarized varieties with high nefvalue. We give a complete list of isomorphism classes for normal polarized varieties with high nefvalue. This generalizes classical work on the smooth case by Fujita, Beltrametti and Sommese. As a consequence we obtain that polarized varieties with slc singularities and high nefvalue, are birationally equivalent to projective bundles over nodal curves.

Keywords

Cite

@article{arxiv.2210.04498,
  title  = {A note on polarized varieties with high nef value},
  author = {Zhining Liu},
  journal= {arXiv preprint arXiv:2210.04498},
  year   = {2022}
}
R2 v1 2026-06-28T03:07:41.125Z