Simple Search

Query:

Enter a query and click »Search«...

Format:

Display: entries per page entries

Zbl 0742.14013
Crew, Richard
Universal extensions and $p$-adic periods of elliptic curves. (English)
[J] Compos. Math. 73, No.1, 107-119 (1990). ISSN 0010-437X; ISSN 1570-5846/e

One aspect of the various relations between étale and crystalline cohomology is the existence of a period map, from the Tate-module of a $p$-divisible group to the differentials on the dual. This was first constructed by Tate. Here the author shows that for elliptic curves this map is described by Eisenstein-series of weight one on modular curves.
[G.Faltings]

MSC 2000:: *14F30 p-adic cohomology
14H52 Elliptic curves
32G20 Period matrices
14H25 Arithmetic ground fields (curves)
14F20 Grothendieck cohomology and topology
14L05 Formal groups

Keywords: étale cohomology; crystalline cohomology; period map; Tate-module of a $p$-divisible group; differentials; elliptic curves

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Simple Search

Zentralblatt MATH Berlin [Germany]