# Formulae for Line Bundle Cohomology on Calabi‐Yau Threefolds

@article{Constantin2019FormulaeFL, title={Formulae for Line Bundle Cohomology on Calabi‐Yau Threefolds}, author={Andrei Constantin and Andr{\'e} Lukas}, journal={Fortschritte der Physik}, year={2019}, volume={67} }

We present closed form expressions for the ranks of all cohomology groups of holomorphic line bundles on several Calabi‐Yau threefolds realised as complete intersections in products of projective spaces. The formulae have been obtained by systematising and extrapolating concrete calculations and they have been checked computationally. Although the intermediate calculations often involve laborious computations of ranks of Leray maps in the Koszul spectral sequence, the final results for…

## 31 Citations

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