le superficie algebriche: a table and more surfaces

Back in 2015, Johan Commelin and I made le superficie algebriche, an interactive picture of the geography of minimal complex algebraic surfaces, plotted by their Chern numbers $\mathrm{c}_1^2$ and $\mathrm{c}_2$ (see the original post and a 2019 update). It has just had its biggest update since. A table. Next to the plane of Chern numbers there is now a table: every class of surface in the database with its Kodaira dimension and numerical invariants, sortable by any column, searchable by name, and with descriptions you can unfold in place. More surfaces, with descriptions and references. A literature sweep added a long list of named classes, from fake quadrics and the ball quotients on the Bogomolov–Miyaoka–Yau line (Ishida, Cartwright–Steger, Yeung’s surface of maximal canonical degree) to product-quotient and Beauville-type surfaces. Each now comes with a short description, what it is and why it is interesting, and full citations resolved to MathSciNet, arXiv or DOI, using the same…