Isogenies of Polynomial Formal Groups

✍ Scribed by Robert Underwood

• Book ID: 102571585
• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 202 KB
• Volume: 212
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1006/jabr.1998.7642

✦ Synopsis

Let H s H i, j be a Greither order in KC and let Spec H i, j ª Spec B ¨p Ž

. ª Spec C be a resolution of Spec H i, j in the flat topology which appears as

formal completions of B and C give rise to two-dimensional polynomial formal groups F F and G G, respectively. The given resolution will then translate to an isogeny Ž . of polynomial formal groups ⌿: F F ª G G with kernel Spec H i, j . ᮊ 1999 Aca- demic Press * The author is indebted to the referee for numerous comments and suggestions which improved this paper considerably.