Skip to main content
MathOverflow

Return to Answer

minor formatting
Source Link
edit approved Jul 4, 2017 at 8:00
Zach Teitler
edit approved Jul 4, 2017 at 8:00
Zach Teitler
  • 6.2k
  • 3
  • 33
  • 63

If X$X$ and Y$Y$ are both regular, then this is true. In fact, it's true more generally if Y$Y$ is regular and X$X$ is Cohen-Macaulay (Eisenbud, Commutative Algebra, Corollary 18.17). In general it's certainly false.

If X and Y are both regular, then this is true. In fact, it's true more generally if Y is regular and X is Cohen-Macaulay (Eisenbud, Commutative Algebra, Corollary 18.17). In general it's certainly false.

If $X$ and $Y$ are both regular, then this is true. In fact, it's true more generally if $Y$ is regular and $X$ is Cohen-Macaulay (Eisenbud, Commutative Algebra, Corollary 18.17). In general it's certainly false.

Source Link
user1594
user1594
  • 1.2k
  • 10
  • 18

If X and Y are both regular, then this is true. In fact, it's true more generally if Y is regular and X is Cohen-Macaulay (Eisenbud, Commutative Algebra, Corollary 18.17). In general it's certainly false.