Claude Fable produced a counterexample to the Jacobian Conjecture

loubbrad2 pts1 comments

levent (@__alpoge__): "hello there the jacobian conjecture is false thanx to my close friend akhil for asking about it and my other close friend fable for working during the world cup final

((1+xy)^3 z + y^2 (1+xy) (4+3xy), y + 3 x (1+xy)^2 z + 3 x y^2 (4+3xy), 2 x - 3 x^2 y - x^3 z): \C^3\to \C^3, has jacobian determinant -2, and sends (0, 0, -1/4), (1, -3/2, 13/2), and (-1, 3/2, 13/2) to (-1/4, 0, 0)" | XCancel

levent

@__alpoge__

32m

hello there the jacobian conjecture is false thanx to my close friend akhil for asking about it and my other close friend fable for working during the world cup final

((1+xy)^3 z + y^2 (1+xy) (4+3xy), y + 3 x (1+xy)^2 z + 3 x y^2 (4+3xy), 2 x - 3 x^2 y - x^3 z): \C^3\to \C^3, has jacobian determinant -2, and sends (0, 0, -1/4), (1, -3/2, 13/2), and (-1, 3/2, 13/2) to (-1/4, 0, 0)

Jul 20, 2026 · 2:19 AM UTC

33

794

levent

@__alpoge__

31m

wolframalpha.com/input?i=Det…

jacobian determinant in wolfram alpha

Det[D[{(1+x y)^3 z + y^2 (1 + x y) (4 + 3x y), y + 3x (1 + x y)^2 z + 3x y^2 (4 + 3x y), 2x - 3x^2...

Wolfram|Alpha brings expert-level knowledge and capabilities to the broadest possible range of people—spanning all professions and education levels.

wolframalpha.com

222

levent

@__alpoge__

29m

wolframalpha.com/input?i=%28…

wolframalpha.com/input?i=%28…

evaluating at two of those points in wolfram alpha

((1+x y)^3 z + y^2 (1 + x y) (4 + 3x y), y + 3x (1 + x y)^2 z + 3x y^2 (4 + 3x y), 2x - 3x^2 y -...

Wolfram|Alpha brings expert-level knowledge and capabilities to the broadest possible range of people—spanning all professions and education levels.

wolframalpha.com

191

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internet poster@PosterInternet

30m

Replying to @__alpoge__

investing at 0 likes in case this is true

125

levent

@__alpoge__

26m

This is the most hilarious / horrifying problem because it is like the canonical crank graveyard. Ty 4 investment🙏

128

more replies

lil hardy@HL1729

5m

Replying to @__alpoge__

is this the same as in Yitang Zhang's thesis?<br>math.purdue.edu/~ttm/Zthesis…

37

Ayush Khaitan@ayushkhaitan343

14m

Replying to @__alpoge__

Wow, congratulations!

71

Rohil Prasad@r0hilprasad

23m

Replying to @__alpoge__

oh dang nice

103

Louis Bradshaw@loubbrad

9m

Replying to @__alpoge__

wow

49

__alpoge__ jacobian levent wolframalpha replying close

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