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.

Borisov L., Buch A., Fatighenti E. (2022). A JOURNEY FROM THE OCTONIONIC ℙ2 TO A FAKE ℙ2. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 150(4), 1467-1475 [10.1090/proc/15840].

A JOURNEY FROM THE OCTONIONIC ℙ2 TO A FAKE ℙ2

Fatighenti E.
2022

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.
2022
Borisov L., Buch A., Fatighenti E. (2022). A JOURNEY FROM THE OCTONIONIC ℙ2 TO A FAKE ℙ2. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 150(4), 1467-1475 [10.1090/proc/15840].
Borisov L.; Buch A.; Fatighenti E.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/895403
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