Four-dimensional Fano toric complete intersections

Abstract

We find at least 527 new four-dimensional Fano manifolds, each of which is a complete intersection in a smooth toric Fano manifold.

12 pages plus a 60 page Appendix. Includes results of computer algebra calculations and full source code: see the Appendix and the ancillary files. v2: included missing ancillary file. v3: bibliography updated, typos corrected, other minor improvements, new figure added, now includes Euler numbers