Fano Fibration

(Algebraic Geometry)


Algebraic Geometry
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What is Fano fibration?

In algebraic geometry, a Fano fibration or Fano fiber space, named after Gino Fano, is a morphism of varieties whose general fiber is a Fano variety (in other words has ample anticanonical bundle) of positive dimension. The ones arising from extremal contractions in the minimal model program are called Mori fibrations or Mori fiber spaces (for Shigefumi Mori). They appear as standard forms for varieties without a minimal model.

Technology Types

algebraic geometry


Fano fiber spaceFano fibre spaceMori fiber spaceMori fibrationMori fibre space

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