Abstract
We study -valued semistable Galois deformation rings, where is a reductive group. We develop a theory of Kisin modules with -structure and use this to identify the connected components of crystalline deformation rings of minuscule -adic Hodge type with the connected components of moduli of “finite flat models with -structure”. The main ingredients are a construction in integral -adic Hodge theory using Liu’s theory of -modules and the local models constructed by Pappas and Zhu.
Citation
Brandon Levin. "$G$-valued crystalline representations with minuscule $p$-adic Hodge type." Algebra Number Theory 9 (8) 1741 - 1792, 2015. https://doi.org/10.2140/ant.2015.9.17
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