Th\'eor\`eme de de Smit et Lenstra, d\'emonstration \'el\'ementaire
Henri Lombardi, Claude Quitt\'e
TL;DR
This paper provides an elementary, constructive proof of a theorem by de Smit and Lenstra, clarifying the relationship between 'completely secant' and '1-secant' conditions.
Contribution
It offers a simplified, elementary proof of a key theorem, including the missing link between 'completely secant' and '1-secant' conditions.
Findings
Proof clarifies the relationship between 'completely secant' and '1-secant'
Provides an elementary, constructive approach to the theorem
Completes the proof missing in the original version
Abstract
We give an elementary and constructive proof for a theorem of de Smit et Lenstra. Note: In version 1, was missing the proof that "completely secant" implies "1-secant"
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Homotopy and Cohomology in Algebraic Topology