Prove that $frac{Y}{X}$ is irreducible mod $Y^2-X^2(X+1)$
If we write $frac{Y}{X} = frac{F}{G}$, do we necessarily have $X$ divide $G$ and $Y$ divide $F$?
If this can shed some light, I'm trying to find the set of poles of $frac{Y}{X}$ mod $Y^2-X^2(X+1)$, exercise 2.17 from Fulton's book on algebraic geometry, but I think the question is simpler than the content of the book. However I always end up having some big computations when trying to do those questions so I wonder if there are any tricks
polynomials irreducible-polynomials minimal-polynomials
asked Nov 29 '18 at 2:51
Thomas
818613
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If we write $frac{Y}{X} = frac{F}{G}$, do we necessarily have $X$ divide $G$ and $Y$ divide $F$?
If this can shed some light, I'm trying to find the set of poles of $frac{Y}{X}$ mod $Y^2-X^2(X+1)$, exercise 2.17 from Fulton's book on algebraic geometry, but I think the question is simpler than the content of the book. However I always end up having some big computations when trying to do those questions so I wonder if there are any tricks
polynomials irreducible-polynomials minimal-polynomials
asked Nov 29 '18 at 2:51
Thomas
818613
add a comment |
If we write $frac{Y}{X} = frac{F}{G}$, do we necessarily have $X$ divide $G$ and $Y$ divide $F$?
If this can shed some light, I'm trying to find the set of poles of $frac{Y}{X}$ mod $Y^2-X^2(X+1)$, exercise 2.17 from Fulton's book on algebraic geometry, but I think the question is simpler than the content of the book. However I always end up having some big computations when trying to do those questions so I wonder if there are any tricks
polynomials irreducible-polynomials minimal-polynomials
asked Nov 29 '18 at 2:51
Thomas
818613
If we write $frac{Y}{X} = frac{F}{G}$, do we necessarily have $X$ divide $G$ and $Y$ divide $F$?
If this can shed some light, I'm trying to find the set of poles of $frac{Y}{X}$ mod $Y^2-X^2(X+1)$, exercise 2.17 from Fulton's book on algebraic geometry, but I think the question is simpler than the content of the book. However I always end up having some big computations when trying to do those questions so I wonder if there are any tricks
polynomials irreducible-polynomials minimal-polynomials
polynomials irreducible-polynomials minimal-polynomials
asked Nov 29 '18 at 2:51
Thomas
818613
asked Nov 29 '18 at 2:51
Thomas
818613
asked Nov 29 '18 at 2:51
Thomas
818613
asked Nov 29 '18 at 2:51
Thomas
818613
asked Nov 29 '18 at 2:51
Thomas
818613
818613
add a comment |
add a comment |
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