 Complex projective plane

The complex projective plane is the two-dimensional Complex projective space. Its second homology is generated by the class $H$ of a projective line, with $H^2=1$.

The complex projective plane, denoted as \(\mathbb{CP}^2\), is a fundamental object in complex geometry and algebraic geometry. It can be understood as a two-dimensional projective space over the field of complex numbers \(\mathbb{C}\).