A finite-type morphism of schemes is quasi-finite if its fibres are finite discrete schemes. A proper quasi-finite morphism is a finite morphism. In particular, a proper finite-type morphism of projective varieties with no positive-dimensional fibres is finite; a positive-dimensional projective fibre would contain an integral curve.

Ancestors (10)

  1. Finite type morphism
  2. Morphism of schemes
  3. Scheme
  4. Locally ringed space
  5. Ringed space
  6. Algebraic geometry
  7. Geometry and topology
  8. Area of mathematics
  9. Mathematics
  10. Home

Incoming links (2)

View article source

Discussion (0)

New discussion

There are no discussions about this article yet.

Articles by others on the same topic (0)

There are currently no matching articles.
See all articles in the same topic Create my own version