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On pencils of curves of genus two

โœ Scribed by A.P. Ogg

Publisher
Elsevier Science
Year
1966
Tongue
English
Weight
486 KB
Volume
5
Category
Article
ISSN
0040-9383

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๐Ÿ“œ SIMILAR VOLUMES

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Consider a curve of genus one over a field K in one of three explicit forms: a double cover of P 1 , a plane cubic, or a space quartic. For each form, a certain syzygy from classical invariant theory gives the curve's jacobian in Weierstrass form and the covering map to its jacobian induced by the K

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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 ร„ E 1 to an elliptic curve E 1 at all in which case we say (mainly for historical reas

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โœ K. Nagashima ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 555 KB

Tate proved a theorem on rational points of torsors ("Torsors" means "Homogeneous spaces," in sequel we use "torsors" in this meaning) of \(T / K\), where \(K\) is a local field, \(T\) is a Tate curve. In this paper we extend the above theorem to the case where \(T\) is a twist of a Tate curve, and