Multiplicative distance

In algebraic geometry, is said to be a multiplicative distance function over a field if it satisfies[1]

  • AB is congruent to A'B' iff
  • AB < A'B' iff

See also

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References

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  1. ^ Hartshorne, Robin (2000), Geometry: Euclid and beyond, Undergraduate Texts in Mathematics, New York: Springer-Verlag, p. 363, doi:10.1007/978-0-387-22676-7, ISBN 0-387-98650-2, MR 1761093.