Question

Gröbner Basis consisting of 3 polynomials with exactly 13 common solutions

score 125 · Answer 1 · 2023-03-03 09:11:02

125

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Gröbner Basis consisting of 3 polynomials with exactly 13 common solutions

Published on 03 Mar 2023 - 9:11

score 122 · Answer 2 · 2026-03-25 09:24:54

122

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Is a monomial basis a Groebner basis?

Published on 25 Mar 2026 - 9:24

score 130 · Answer 3 · 2026-03-25 09:27:30

130

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How to find roots of a system of multivariate polynomials?

Published on 25 Mar 2026 - 9:27

score 97 · Answer 4 · 2026-03-25 11:04:47

97

Views

How to solve this system of multivariate polynomial equations for $0<x_7<x_6<x_8 \le 1$? Groebner basis maybe?

Published on 25 Mar 2026 - 11:04

score 62 · Answer 5 · 2026-03-25 03:07:46

62

Views

A radical equation $(2x+1)^{2/3}+(2x-1)^{2/3}-2x^{2/3}=2^{1/3}$

Published on 25 Mar 2026 - 3:07

score 55 · Answer 6 · 2023-05-06 18:24:45

55

Views

Finding the number of solutions of a system of multivariate polynomials without solving the system.

Published on 06 May 2023 - 18:24

score 57 · Answer 7 · 2023-05-07 14:10:48

57

Views

Name of theorem / result related to Grobner Bases

Published on 07 May 2023 - 14:10

score 27 · Answer 8 · 2023-05-07 22:28:56

27

Views

Polynomial Ideal with fixed basis

Published on 07 May 2023 - 22:28

score 66 · Answer 9 · 2023-05-16 01:28:51

66

Views

Would this be correct to prove that two ideals are equal?

Published on 16 May 2023 - 1:28

score 39 · Answer 10 · 2023-05-16 09:12:04

39

Views

How is the reduced Groebner base of the ideal of an inconsistent polynomial system of equations?

Published on 16 May 2023 - 9:12

score 72 · Answer 11 · 2023-05-20 00:36:07

How to prove using Groebner Bases that $x^2 +y^2 = −1, x^3 +y^3 = −1, x^5 +y^5 = −1$ is inconsistent in $\Bbb C\;^2$?

score 60 · Answer 12 · 2026-03-25 06:22:57

60

Views

Does ideal reduction commute with intersection?

Published on 25 Mar 2026 - 6:22

score 81 · Answer 13 · 2023-05-24 09:07:24

81

Views

How to compute the intersection of ideals $(w,y,xz+x+z), (w,x,yz+y+z), (z,y,xw+x+w), (z,x,yw+y+w), (x+y,zw+z+w,y^2)$ over $\mathbb{F}_p$?

Published on 24 May 2023 - 9:07

score 116 · Answer 14 · 2023-05-27 21:38:17

116

Views

Applications of Gröbner bases for beginners

Published on 27 May 2023 - 21:38

score 57 · Answer 15 · 2023-05-31 13:04:28

57

Views

Strange Sage behavior grobner bases

Published on 31 May 2023 - 13:04

List Question

Gröbner Basis consisting of 3 polynomials with exactly 13 common solutions

Is a monomial basis a Groebner basis?

How to find roots of a system of multivariate polynomials?

How to solve this system of multivariate polynomial equations for $0<x_7<x_6<x_8 \le 1$? Groebner basis maybe?

A radical equation $(2x+1)^{2/3}+(2x-1)^{2/3}-2x^{2/3}=2^{1/3}$

Finding the number of solutions of a system of multivariate polynomials without solving the system.

Name of theorem / result related to Grobner Bases

Polynomial Ideal with fixed basis

Would this be correct to prove that two ideals are equal?

How is the reduced Groebner base of the ideal of an inconsistent polynomial system of equations?

How to prove using Groebner Bases that $x^2 +y^2 = −1, x^3 +y^3 = −1, x^5 +y^5 = −1$ is inconsistent in $\Bbb C\;^2$?

Does ideal reduction commute with intersection?

How to compute the intersection of ideals $(w,y,xz+x+z), (w,x,yz+y+z), (z,y,xw+x+w), (z,x,yw+y+w), (x+y,zw+z+w,y^2)$ over $\mathbb{F}_p$?

Applications of Gröbner bases for beginners

Strange Sage behavior grobner bases

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