Geodesic
Toward higher chromatic analogs of elliptic cohomology II
Homology, homotopy, and applications, Tome 10 (2008) no. 3, pp. 335-368.

Voir la notice de l'article provenant de la source International Press of Boston

Let $p$ be a prime and $f$ a positive integer, greater than $1$ if $p=2$. We construct liftings of the Artin-Schreier curve $C(p,f)$ in characteristic $p$ defined by the equation $y^e=x-x^p$ (where $e=p^f-1$) to a curve $\tilde{C}(p,f)$ over a certain polynomial ring $R'$ in characteristic $0$ which shares the following property with $C(p,f)$. Over a certain quotient of $R'$, the formal completion of the Jacobian $J(\tilde{C}(p,f))$ has a $1$-dimensional formal summand of height $(p-1)f$. Along the way we show how Honda’s theory of commutative formal group laws can be extended to more general rings and prove a conjecture of his about the Fermat curve.
DOI : 10.4310/HHA.2008.v10.n3.a15
Classification : 55N34, 14H40, 14H50, 14L05, 55N22
Keywords: formal group law, elliptic cohomology, algebraic curve 
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     author = {Douglas C. Ravenel},
     title = {Toward higher chromatic analogs of elliptic cohomology {II}},
     journal = {Homology, homotopy, and applications},
     pages = {335--368},
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     year = {2008},
     doi = {10.4310/HHA.2008.v10.n3.a15},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2008.v10.n3.a15/}
}
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Douglas C. Ravenel. Toward higher chromatic analogs of elliptic cohomology II. Homology, homotopy, and applications, Tome 10 (2008) no. 3, pp. 335-368. doi : 10.4310/HHA.2008.v10.n3.a15. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2008.v10.n3.a15/

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