# Rees algebra

Jump to navigation
Jump to search

In commutative algebra, the **Rees algebra** of an ideal in a ring is defined to be

This construction has special interest in algebraic geometry since the projective scheme defined by the Rees algebra of an ideal in a ring is the blowing-up of the spectrum of the ring along the subscheme defined by the ideal.^{[1]}

## References

- ↑ Eisenbud-Harris,
*The geometry of schemes*. Springer-Verlag, 197, 2000