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Results tagged with algebraic-curves
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user 37622
for questions on one dimensional algebraic varieties over any field, including questions of moduli, and questions about specific curves.
3
votes
Effectiveness of the distinguished theta characteristic in characteristic 2
Let $F:X\to X$ be the relative Frobenius morphism. It is a finite morphism of degree $2$, and we have an exact sequence
$$0\to \mathcal{O}_X\to F_*\mathcal{O}_X \to L \to 0$$
for some invertible shea …
- 416
2
votes
General curves of genus 3 as plane sections of Kummer surfaces
The paper by Alessandro Verra (Math. Ann. 276 (1987), no. 3, 433–448) gives a very precise description of all fibers of the Prym map $\mathcal{R}_3\to \mathcal{A}_2$ from which the answer to your que …
- 416
1
vote
Dimension of the space of invariant quadratic differentials in Galois covers
You may get what you need from various papers on the equivariant Riemann-Roch theorem applied to your G-linearized sheaf $T_X$. For example, look at the papers of Borne and/or Ellingsrud-Lonstead.
- 416