TL;DR
This paper proves a vanishing result for a cochain complex related to elliptic curves, with applications to algebraic topology and Morava E-theory at height 2.
Contribution
It introduces a new vanishing theorem for cohomology of complexes linked to elliptic curve subgroup schemes, impacting algebraic topology.
Findings
Vanishing result for cohomology of a specific cochain complex.
Applications to power operations in Morava E-theory at height 2.
Connections between algebraic geometry and algebraic topology.
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.
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