THE JACOBIAN AND FORMAL GROUP OF A CURVE OF GENUS-2 OVER AN ARBITRARY GROUND FIELD

被引:33
作者
FLYNN, EV [1 ]
机构
[1] UNIV MICHIGAN,DEPT MATH,ANN ARBOR,MI 48109
关键词
D O I
10.1017/S0305004100068729
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
An embedding of the Jacobian variety of a curve b of genus 2 is given, together with an explicit set of denning equations. A pair of local parameters is chosen, for which the induced formal group is defined over the same ring as the coefficients of to. It is not assumed that b has a rational Weierstrass point, and the theory presented applies over an arbitrary ground field (of characteristic 4= 2, 3, or 5). © 1990, Cambridge Philosophical Society. All rights reserved.
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页码:425 / 441
页数:17
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