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| Submitted by |
Gerrit Oomens |
| Date |
01-01-1900 |
| Reference |
Jean-Pierre Serre
Letter to G. van der Geer
September 1, 1997.
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Comments
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| Tags |
Methods from general class field theory |
User comments
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Correction
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S.E.Fischer
12-20-2014 03:42
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The extension E/F leads to a curve of genus 4 with 8 points. Extending once again by H of degree 2 leads to the desired result, as we write
H/(E/F):= v^2 + v + x^3 + x .
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Explicit Curve
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S.E.Fischer
12-18-2014 15:30
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We can assume such a curve C as an extension E of degree 2 of a curve F of genus 1 as follows:
F: (x + y + x*y) * x*y + x + 1 ;
E/F := v^2 + v + x^3 + x .
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Defining equation
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Isabel Pirsic
06-18-2012 13:00
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(x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1)*y^8 +
(x^10 + x^9 + x^6 + x^5 + x + 1)*y^4 +
(x^13 + x^12 + x^11 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2)*y^2 +
(x^13 + x^12 + x^11 + x^10 + x^9 + x^8 + x^6 + x^5)*y +
x^21 + x^20 + x^17 + x^15 + x^11 + x^10 + x^8 + x^6
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|
| Submitted by |
Gerrit Oomens |
| Date |
01-01-1900 |
| Reference |
Jean-Pierre Serre
Letter to G. van der Geer
September 1, 1997.
|
Comments
|
|
| Tags |
None |
User comments
No comments have been made.
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