A JOURNEY FROM THE OCTONIONIC ℙ2 TO A FAKE ℙ2

Lev Borisov, Anders Buch, Enrico Fatighenti

Research output: Contribution to journalArticlepeer-review

Abstract

We discover a family of surfaces of general type with K2 = 3 and pg = q = 0 as free C13 quotients of special linear cuts of the octonionic projective plane Oℙ2. A special member of the family has 3 singularities of type A2, and is a quotient of a fake projective plane. We use the techniques of earlier work of Borisov and Fatighenti to define this fake projective plane by explicit equations in its bicanonical embedding.

Original languageEnglish (US)
Pages (from-to)1467-1475
Number of pages9
JournalProceedings of the American Mathematical Society
Volume150
Issue number4
DOIs
StatePublished - 2022
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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