Characterization of jacobian varieties in arbitrary characteristic
José M. Muñoz Porras (1987)
Compositio Mathematica
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José M. Muñoz Porras (1987)
Compositio Mathematica
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Olivier Debarre, Rachid Fahlaoui (1993)
Compositio Mathematica
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A. Soucaris (1994)
Compositio Mathematica
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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...
Miguel A. Barja, Juan Carlos Naranjo (1998)
Collectanea Mathematica
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Let S be a fibred surface. We prove that the existence of morphisms from non countably many fibres to curves implies, up to base change, the existence of a rational map from S to another surface fibred over the same base reflecting the properties of the original morphisms. Under some conditions of unicity base change is not needed and one recovers exactly the initial maps.
Poonen, Bjorn, Stoll, Michael (1999)
Annals of Mathematics. Second Series
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Serge Lang (1960)
Publications Mathématiques de l'IHÉS
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Masaki Hanamura (1987)
Compositio Mathematica
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