Algebraic & Geometric Topology

Modular isogeny complexes

Charles Rezk

Full-text: Open access

Abstract

We describe a vanishing result on the cohomology of a cochain complex associated to the moduli of chains of finite subgroup schemes on elliptic curves. These results have applications to algebraic topology, in particular to the study of power operations for Morava E–theory at height 2.

Article information

Source
Algebr. Geom. Topol., Volume 12, Number 3 (2012), 1373-1403.

Dates
Received: 21 March 2011
Revised: 18 March 2012
Accepted: 10 April 2012
First available in Project Euclid: 19 December 2017

Permanent link to this document
https://projecteuclid.org/euclid.agt/1513715402

Digital Object Identifier
doi:10.2140/agt.2012.12.1373

Mathematical Reviews number (MathSciNet)
MR2966690

Zentralblatt MATH identifier
1254.14030

Subjects
Primary: 11G18: Arithmetic aspects of modular and Shimura varieties [See also 14G35]
Secondary: 55N34: Elliptic cohomology 55S25: $K$-theory operations and generalized cohomology operations [See also 19D55, 19Lxx] 11G15: Complex multiplication and moduli of abelian varieties [See also 14K22]

Keywords
power operations elliptic curves Morava E–theory

Citation

Rezk, Charles. Modular isogeny complexes. Algebr. Geom. Topol. 12 (2012), no. 3, 1373--1403. doi:10.2140/agt.2012.12.1373. https://projecteuclid.org/euclid.agt/1513715402


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References

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