Proves an if-and-only-if integrality criterion for height-one one-dimensional formal group laws over p-adic fields via p-adic Hodge theory.
Algebraic geometry and number theory , SERIES =
2 Pith papers cite this work, alongside 73 external citations. Polarity classification is still indexing.
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For n greater than or equal to 3 and sufficiently generic weights, the universal supersingular representation of GL_n(k) is non-admissible and of infinite length.
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Integrality of height-one formal groups
Proves an if-and-only-if integrality criterion for height-one one-dimensional formal group laws over p-adic fields via p-adic Hodge theory.
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Non-admissibility of some universal supersingular representations
For n greater than or equal to 3 and sufficiently generic weights, the universal supersingular representation of GL_n(k) is non-admissible and of infinite length.