Lubin-Tate and Drinfeld bundles
Jan Kohlhaase
Source: Tohoku Math. J. (2) Volume 63, Number 2
(2011), 217-254.
Abstract
Let $K$ be a nonarchimedean local field, let $h$ be a positive integer, and denote by $D$ the central division algebra of invariant $1/h$ over $K$. The modular towers of Lubin-Tate and Drinfeld provide period rings leading to an equivalence between a category of certain $\mathrm{GL}_h(K)$-equivariant vector bundles on Drinfeld's upper half space of dimension $h-1$ and a category of certain $D^*$-equivariant vector bundles on the $(h-1)$-dimensional projective space.
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Permanent link to this document: http://projecteuclid.org/euclid.tmj/1309952087
Digital Object Identifier: doi:10.2748/tmj/1309952087
Zentralblatt MATH identifier: 05955297
Mathematical Reviews number (MathSciNet): MR2812452
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