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The Existence of Curves of Genus Two with Elliptic Differentials

✍ Scribed by Ernst Kani

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
459 KB
Volume
64
Category
Article
ISSN
0022-314X

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✦ Synopsis

To put this question into its proper perspective, it may be useful to recall the following facts (cf. [Ka] for more details and historical remarks). If a curve C of genus 2 admits any non-constant morphism f 1 : C Γ„ E 1 to an elliptic curve E 1 at all in which case we say (mainly for historical reasons) that C admits an elliptic differential then we have in fact the situation as described above, for f 1 factors over a morphism f : C Γ„ E,

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