Matsusaka's big theorem

In algebraic geometry, given an ample line bundle L on a compact complex manifold X, Matsusaka's big theorem gives an integer m, depending only on the Hilbert polynomial of L, such that the tensor power Ln is very ample for n ≥ m. The theorem was proved by Teruhisa Matsusaka in 1972 and named by Lieberman and Mumford in 1975.

Source: Wikipedia — Matsusaka's big theorem (CC BY-SA 4.0)

Matsusaka's big theorem

In algebraic geometry, given an ample line bundle L on a compact complex manifold X, Matsusaka's big theorem gives an integer m, depending only on the Hilbert polynomial of L, such that the tensor power Ln is very ample for n ≥ m. The theorem was proved by Teruhisa Matsusaka in 1972 and named by Lieberman and Mumford in 1975.

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Source: Wikipedia "Matsusaka's big theorem" · CC BY-SA 4.0

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