# Fanography: a tool to visually study the geography of Fano 3-folds

It's no secret I like

- making websites
- classification results

and one classification I found myself going back to over and over again is that of Fano 3-folds. These are smooth projective varieties of dimension 3 such that the anticanonical bundle $\omega_X^\vee$ is ample. These have been classified by Iskovskikh and Mori–Mukai. It turns out there are 105 different families, with interesting relationships between them.

At **fanography.info** I've created an online tool to study this classification, combining information from quite a few different sources.

There are still some things I would like to add, such as

- more information on the minimal model program: extremaly rays, birational transformations
- semiorthogonal decompositions
- K-stability
- dimensions of the automorphism groups
- information on toric geometry
- information on mirror symmetry

but I guess it's better to just release it as it is, instead of waiting for me to finish this.

If you want to contribute by *adding information* or *adding explanations*, please get in touch!