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Results tagged with jacobians
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user 110362
5
votes
0
answers
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views
Unirationality of universal Jacobian over special strata of moduli space of pointed genus 3 ...
Let $M_{3,1}$ be the (coarse, non-compactified) moduli space of genus $3$ curves with a marked point over a field $k$ of characteristic zero. Throwing away the hyperelliptic curves, take the open subs …
- 984
4
votes
Accepted
Generalization of torsion points on Jacobian of genus 2 over finite fields (with respect to ...
The set $J(C)_{\Theta}[n]$ has the structure of a smooth irreducible algebraic curve, and the restriction of $J(C)\xrightarrow{\times n } J(C)$ to $C$ defines a morphism $J(C)_{\Theta}[n]\rightarrow C …
- 984
4
votes
Accepted
Dual family of torsion-free rank-1 sheaves on Gorenstein curves
Yes. This follows from Theorem 1.10(ii) of the paper of Altman-Kleiman cited below.
More precisely, let $S$ be a scheme and let $\mathcal{F}$ be a locally finitely presented $\mathcal{O}_{X_S}$-module …
- 984
2
votes
Compactified Jacobian of a rational curve whose normalization is a set-theoretic bijection
Section 3 of the following paper of Beauville should answer your question: https://arxiv.org/abs/alg-geom/9701019
In particular, it is shown there that, up to replacing the compactified Jacobian by a …
- 984