Hyperplane section
= Hyperplane section
A hyperplane section of a projective variety $X\subset\mathbb P^n$ is the scheme-theoretic intersection $X\cap H$ with a <projective hyperplane> $H$. Its associated <line bundle> is $\mathcal O_X(1)$.
= Hyperplane section
A hyperplane section of a projective variety $X\subset\mathbb P^n$ is the scheme-theoretic intersection $X\cap H$ with a <projective hyperplane> $H$. Its associated <line bundle> is $\mathcal O_X(1)$.