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arXiv · 2210.04498

A note on polarized varieties with high nef value

Zhining Liu
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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.

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Zhining Liu. 2022-10-10. A note on polarized varieties with high nef value. https://arxiv.org/abs/2210.04498

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