Complete
Intersection Calabi-Yau Four-Folds

Alexander Haupt, James Gray, Andre Lukas

All Complete Intersection Calabi-Yau Four-Folds

Alexander Haupt, James Gray, Andre Lukas

This
website holds the complete list of Calabi-Yau four-folds defined
as complete intersections in products of projective spaces, in total
921,497 spaces, together with information on many of their basic
topological properties. Any use of the data on this website should be
acknowledged by referencing the associated publications given below.

All Complete Intersection Calabi-Yau Four-Folds

The
basic classification of complete intersection Calabi-Yau four-folds,
together with a computation of Euler numbers has been carried out in arXiv:1303.1832. The
corresponding data, which consists of the configuration matrices and
the Euler numbers, is contained in the following files:

- Four-fold
list as a compressed plain text file
(9.2MB compressed, 256.5MB uncompressed).

- Four-fold list as a compressed Mathematica file (7.7MB compressed, 300MB uncompressed).

Topological
Invariants and Fibration Structure of Complete Intersection
Calabi-Yau Four-Folds

In
arXiv:1405.2073, the structure of complete
intersection Calabi-Yau four-folds has been analyzed in more detail. In
particular, all Hodge numbers, Chern classes and elliptic fibrations
have been computed. The corresponding data whose format is explained in
arXiv:1405.2073 is contained in the following files:

- Four-fold
list as a compressed plain text file,
containing a list in
Mathematica format (12.3MB compressed, 342.9MB uncompressed).

- Elliptic fibrations of four-folds, as a compressed directory containing text files with lists in Mathematica format (128.4MB compressed, 4.93GB uncompressed).