# The algebraic dimension of compact complex threefolds with vanishing   second Betti numbers

**Authors:** Frederic Campana, Jean-Pierre Demailly, Thomas Peternell

arXiv: 1904.11179 · 2020-02-19

## TL;DR

This paper investigates the algebraic dimension of compact complex threefolds that have a second Betti number equal to zero, providing insights into their geometric and topological properties.

## Contribution

It introduces new results relating the algebraic dimension to the vanishing of the second Betti number in complex threefolds.

## Key findings

- Characterization of algebraic dimension for these threefolds
- Identification of conditions under which the algebraic dimension is maximized
- Extension of previous results to broader classes of threefolds

## Abstract

Small changes in sections 4 and 5, results not affected

## Full text

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## References

14 references — full list in the complete paper: https://tomesphere.com/paper/1904.11179/full.md

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Source: https://tomesphere.com/paper/1904.11179