Regular scheme

In algebraic geometry, a regular scheme is a scheme whose local rings are regular everywhere.[1] Every smooth scheme is regular, and every regular scheme over a perfect field is smooth.[2]

See also

References

  1. ↑ Hartshorne, Robin (1977), Algebraic Geometry, Graduate Texts in Mathematics 52, Springer, p. 238, ISBN 9780387902449.
  2. ↑ Demazure, Michel (1980), Introduction to algebraic geometry and algebraic groups, North-Holland Mathematics Studies 39, North-Holland, Proposition 3.2, p. 168, ISBN 9780080871509.


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