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- minimal model program
- ample
- Cartier divisor
- normal
- numerically equivalent
- Mori cone
nef divisor
A line bundle \({\mathcal{L}}\) on \(X\) is nef iff for all integral subvarieties \(Y \subseteq X\), \(\qty{\prod_{i\leq \dim Y} {\mathcal{L}}} Y \geq 0\).
Note that
- ample implies nef,
- nef plus nef is nef
- nef tensor very ample divisor is very ample divisor.
\({\mathcal{L}}\) is nef iff its restriction to every curve is positive.
