Toward Higher Chromatic Analogs of Elliptic Cohomology
نویسنده
چکیده
We show that the Jacobian of a certain Artin-Schreier curve over the field Fp has a a 1-dimensional formal summand of height (p− 1)f for any positive integer f . We give two proofs, the classical one which was known to Manin in 1963 and which requires knowledge of the zeta function of the curve, and a new simpler one using methods of Honda. This is the first step toward contructing the cohomology theories indicated in the title.
منابع مشابه
Toward Higher Chromatic Analogs of Elliptic Cohomology Ii
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تاریخ انتشار 2004