Research announcement: equations of a fake projective plane

TL;DR

This paper provides explicit equations for a fake projective plane embedded in complex projective space, aiding in the understanding of its geometric structure.

Contribution

It presents the first explicit equations of a fake projective plane in its bicanonical embedding, a significant step in algebraic geometry.

Findings

Explicit equations in $ ext{CP}^9$ for a fake projective plane

Advances understanding of the geometric structure of fake projective planes

Facilitates further research in algebraic geometry and complex surfaces

Abstract

In this short note we announce explicit equations of a fake projective plane in its bicanonical embedding in $\mathbb C\mathbb P^9$.