User John R Ramsden

33 votes

3 answers

3k views

What is the defining property of reductive groups and why are they important?

asked Jan 17, 2019 at 9:56

20 votes

4 answers

3k views

Does $(x^2 - 1)(y^2 - 1) = c z^4$ have a rational point, with z non-zero, for any given rational c?

asked May 19, 2012 at 8:14

9 votes

4 answers

1k views

Rational solutions of $x^2 + y^2 = z (z^2 - 1)$

asked Jul 31, 2013 at 17:01

5 votes

0 answers

200 views

Is there an algorithm to decide whether or not two algebraic surfaces are birationally equivalent?

asked Jun 3, 2014 at 16:03

5 votes

2 answers

443 views

Rank of $x (x^2 - 1) = c (c^2 - 1) y^2 $ over $\mathbb{Q}$ for given rational values of $c$

asked Jun 17, 2012 at 18:11

5 votes

0 answers

212 views

Rational solutions of $x (y - z) y (z - x) z (x - y) = t^2$

asked Jul 28, 2012 at 22:46

5 votes

4 answers

1k views

Looking up the Mordell-Weil rank and generator(s) of a Weierstrass Equation

asked Mar 5, 2011 at 20:28

4 votes

1 answer

208 views

Can a Lagrangian and/or Hamiltonian be defined for a discrete dynamic system?

asked May 19, 2017 at 13:20

3 votes

2 answers

205 views

Rational solutions of $x^4 \pm y_1^4 \pm .. y_n^4 = |k|$ for given rational $k$

asked Oct 25, 2016 at 12:37

3 votes

0 answers

401 views

The surface $ x^2 y^2 + 1 = (x^2 + y^2) z^2 $

asked Jan 2, 2011 at 13:49

2 votes

0 answers

377 views

Numerical method for finding characteristics of a square wave

asked Mar 24, 2012 at 9:21

1 vote

2 answers

514 views

The variety $x_1 + x_2 + .. + x_n = 0$, $x_1 x_2 .. x_n = 1$ for n > 4

asked Jan 14, 2012 at 7:35

1 vote

0 answers

39 views

Standard term for parametrisation where heights of parameters and values are correlated

asked Feb 11, 2016 at 15:15

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13 Questions

What is the defining property of reductive groups and why are they important?

Does $(x^2 - 1)(y^2 - 1) = c z^4$ have a rational point, with z non-zero, for any given rational c?

Rational solutions of $x^2 + y^2 = z (z^2 - 1)$

Is there an algorithm to decide whether or not two algebraic surfaces are birationally equivalent?

Rank of $x (x^2 - 1) = c (c^2 - 1) y^2 $ over $\mathbb{Q}$ for given rational values of $c$

Rational solutions of $x (y - z) y (z - x) z (x - y) = t^2$

Looking up the Mordell-Weil rank and generator(s) of a Weierstrass Equation

Can a Lagrangian and/or Hamiltonian be defined for a discrete dynamic system?

Rational solutions of $x^4 \pm y_1^4 \pm .. y_n^4 = |k|$ for given rational $k$

The surface $ x^2 y^2 + 1 = (x^2 + y^2) z^2 $

Numerical method for finding characteristics of a square wave

The variety $x_1 + x_2 + .. + x_n = 0$, $x_1 x_2 .. x_n = 1$ for n > 4

Standard term for parametrisation where heights of parameters and values are correlated