Integral models of Hilbert modular varieties in the ramified case, deformations of modular Galois representations, and weight one forms
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DOI: 10.1007/s00222-018-0825-x
Abstract: We prove the strong Artin conjecture for continuous, totally odd, two-dimensional representations of the absolute Galois group of a totally real field F. read more here.
Keywords: models hilbert; ramified case; modular varieties; varieties ramified ... See more keywords
Satake compactification of analytic Drinfeld modular varieties
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DOI: 10.1016/j.jnt.2020.09.018
Abstract: Abstract We construct a normal projective rigid analytic compactification of an arbitrary Drinfeld modular variety whose boundary is stratified by modular varieties of smaller dimensions. This generalizes work of Kapranov. Using an algebraic modular compactification… read more here.
Keywords: drinfeld modular; compactification; analytic drinfeld; analytic compactification ... See more keywords