The Fujita conjecture is a statement in the field of algebraic geometry, particularly concerning the minimal model program and the properties of algebraic varieties. Proposed by Takao Fujita in the 1980s, the conjecture pertains to the relationship between the ample divisor classes and the structure of the variety. Specifically, the Fujita conjecture relates to the growth of the dimension of the space of global sections of powers of an ample divisor.
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