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Results tagged with algebraic-curves
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user 44138
for questions on one dimensional algebraic varieties over any field, including questions of moduli, and questions about specific curves.
4
votes
1
answer
254
views
Non-abelian group from affine hermitian curve
I was playing with the Hermitian curve $y^q + y = x^{q+1}$ over the field $GF(q^2)$ and chanced upon the following (non Abelian) group law on the points of the affine curve:
$(a,b) * (c,d) = (a+c,b+d …
- 55
1
vote
1
answer
671
views
automorphism group of a function field
Suppose that F is a function field of a single variable over a finite field. The automorphism group Aut(F) acts on the places of F and permutes all places of a given degree. I have a few questions:
1 …
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