# On the existence of minimal models for log canonical pairs

**Authors:** Vladimir Lazi\'c, Nikolaos Tsakanikas

arXiv: 1905.05576 · 2022-05-24

## TL;DR

This paper proves that minimal models for log canonical pairs exist under the assumption that minimal models for smooth varieties are available, advancing the understanding of the minimal model program in algebraic geometry.

## Contribution

It establishes the existence of minimal models for log canonical pairs based on the assumption of minimal models for smooth varieties, linking these two concepts.

## Key findings

- Minimal models for log canonical pairs exist under certain assumptions.
- The existence depends on the minimal models of smooth varieties.
- This result advances the minimal model program in algebraic geometry.

## Abstract

We show that minimal models of log canonical pairs exist, assuming the existence of minimal models of smooth varieties.

## Full text

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## References

38 references — full list in the complete paper: https://tomesphere.com/paper/1905.05576/full.md

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Source: https://tomesphere.com/paper/1905.05576