For a dominant morphism of irreducible varieties, generic fiber dimension is source dimension minus target dimension, and this dimension occurs over a nonempty open subset. In particular, constant fiber dimension gives source dimension equal to target dimension plus . For algebraic groups the equal-dimensional components and coset fibers allow the same dimension formula componentwise.

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  1. Fiber of a morphism
  2. Morphism of algebraic varieties
  3. Algebraic variety
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