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YCor
YCor
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I saw the question(  When is an almost geometric quotient flat?) that which said "The quotient $\pi$ is flat if and only if $\pi$ is equidimensional and $X$ is smooth".

"The quotient $\pi$ is flat if and only if $\pi$ is equidimensional and $X$ is smooth".

I am curious is there an example that $\pi$ is not equidimensional. Also where can I see the original reference for the statement?

I saw the question(When is an almost geometric quotient flat?) that said "The quotient $\pi$ is flat if and only if $\pi$ is equidimensional and $X$ is smooth". I am curious is there an example that $\pi$ is not equidimensional. Also where can I see the original reference for the statement?

I saw the question  When is an almost geometric quotient flat? which said

"The quotient $\pi$ is flat if and only if $\pi$ is equidimensional and $X$ is smooth".

I am curious is there an example that $\pi$ is not equidimensional. Also where can I see the original reference for the statement?

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Mary Susy
Mary Susy
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When the action of reductive group on algebraic variety is not equidimensional?

I saw the question(When is an almost geometric quotient flat?) that said "The quotient $\pi$ is flat if and only if $\pi$ is equidimensional and $X$ is smooth". I am curious is there an example that $\pi$ is not equidimensional. Also where can I see the original reference for the statement?