The arithmetic-geometric mean and isogenies for curves of higher genus

Ron Donagi; Ron Livné

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Abelian varieties and curves in $W_{d} (C)$

Dan Abramovich, Joe Harris (1991)

Compositio Mathematica

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Curves of minimal genus on a general abelian variety

Fabio Bardelli, Ciro Ciliberto, Alessandro Verra (1995)

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Prym varieties and the canonical map of surfaces of general type

Ciro Ciliberto, Rita Pardini, Francesca Tovena (2000)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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The fibre of the Prym map in genus four

Laura Hidalgo-Solís, Sevin Recillas-Pishmish (1999)

Bollettino dell'Unione Matematica Italiana

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In questa nota si dà una descrizione della fibra della mappa di Prym in genere 4. Se $J X$ è la Jacobiana di una curva di genere 3, allora la fibra della mappa di Prym in $J X$ si ottiene dalla varietà di Kummer $K X$ mediante due scoppiamenti: $σ_{1} : K X (0) \to K X$ che è lo scoppiamento di $K X$ nell'origine e $σ_{2} : \tilde{K X (0)} \to K X (0)$ che è lo scoppiamento lungo una curva isomorfa a $X$ .

Hurwitz spaces of genus 2 covers of an elliptic curve.

Ernst Kani (2003)

Collectanea Mathematica

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Let E be an elliptic curve over a field K of characteristic not equal to 2 and let N > 1 be an integer prime to char(K). The purpose of this paper is to construct the (two-dimensional) Hurwitz moduli space H (E/K,N,2) which classifies genus 2 covers of E of degree N and to show that it is closely related to the modular curve X(N) which parametrizes elliptic curves with level-N-structure. More precisely, we introduce the notion of a normalized genus 2 cover of E/K and show that...

Abelian varieties in $W_{d}^{r} (C)$ and points of bounded degree on algebraic curves

Olivier Debarre, Rachid Fahlaoui (1993)

Compositio Mathematica

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Displaying similar documents to “The arithmetic-geometric mean and isogenies for curves of higher genus”

Abelian varieties and curves in W d ( C )

Curves of minimal genus on a general abelian variety

Prym varieties and the canonical map of surfaces of general type

The fibre of the Prym map in genus four

Hurwitz spaces of genus 2 covers of an elliptic curve.

Abelian varieties in W d r ( C ) and points of bounded degree on algebraic curves

Abelian varieties and curves in $W_{d} (C)$

Abelian varieties in $W_{d}^{r} (C)$ and points of bounded degree on algebraic curves