This page collects links to data related to my projects on fake projective planes. Various papers have been written with different co-authors, in alphabetical order Anders Buch, Enrico Fatighenti, Mattie Ji, JongHae Keum, Yanxin Li, Zachary Lihn, Sargam Mondal, Sai Kee Yeung. Please inform me of any broken links.

Links to project data, in chronological order.

  • arXiv:1802.06333
    FPP: (a=7,p=2,\emptyset,D_3 2_7).

  • arXiv:1804.00737
    Cartwright-Steger surface.

  • arXiv:2004.02637
    FPP: (C2,p=2,\emptyset,d_3 D_3), FPP: (C2,p=2,\emptyset,D_3 X_3), FPP: (C2,p=2,\emptyset,(dD)_3 X_3), FPP: (C2,p=2,\emptyset,(d^2D)_3 X_3), FPP: (C2,p=2,\emptyset,d_3 X'_3), FPP: (C2,p=2,\emptyset,X_9).

  • arXiv:2008.09731
    FPP: (C18,p=3,\emptyset,d_3 D_3).

  • arXiv:2109.02070
    FPP: (a=7,p=2,\{7\},D_3 2_7), FPP: (C20,p=2,\emptyset,D_3 2_7).

  • arXiv:2301.09155
    More on geometry of FPP: (a=7,p=2,\{7\},D_3 2_7).

  • arXiv:2308.10429
    More on geometry of FPP: (a=7,p=2,\emptyset,D_3 2_7).

  • arXiv:2308.14237
    FPP: (a=7,p=2,\emptyset,D_3 X_7).



    The links below give only the equations of the fake projective planes and CS surfaces. For FPP: (C2,p=2,\emptyset,(dD)_3 X_3) and FPP: (C2,p=2,\emptyset,(d^2D)_3 X_3) we don't know which choices of the embedding of the field of definition into complex numbers give which complex conjugate pairs of FPP. The embeddings are bicanonical, unless stated otherwise.