Abstract
Consider a curve of genus one over a field K in one of three explicit forms: a double cover of P1a 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-rational divisor at infinity. We give a unified account of all three cases.
Original language | English (US) |
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Pages (from-to) | 304-315 |
Number of pages | 12 |
Journal | Journal of Number Theory |
Volume | 90 |
Issue number | 2 |
DOIs | |
State | Published - 2001 |
ASJC Scopus subject areas
- Algebra and Number Theory