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for questions on one dimensional algebraic varieties over any field, including questions of moduli, and questions about specific curves.

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Hyperelliptic curves over characteristic two fields

If anyone is interested, a thorough treatment is given by the book referenced in the comments here: https://math.stackexchange.com/questions/137495/artin-schreier-extensions-over-characteristic-two-fi …
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1 vote
1 answer
861 views

Hyperelliptic curves over characteristic two fields

I have been looking at hyperelliptic curves over an algebraically closed field $k$ of characteristic two, with a view towards finding the basis for the vector space of holomorphic differentials. To do …
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  • 485
8 votes
0 answers
859 views

Elementary proof of the Hurwitz formula

I am aware of two forms of the Hurwitz formula. The first is more common, and deals only with the degrees. So if $f:X \rightarrow Y$ is a non-constant map of degree $n$ between two projective non-sing …
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22 votes
2 answers
3k views

History of the connection between Riemann surfaces and complex algebraic curves

As noted in the question "Links between Riemann surfaces and algebraic geometry", there are strong connections between Riemann surfaces and algebraic geometry - for example, compact Riemann surfaces a …
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