The conjugate uniformization via 1-motives

We use the p -divisible group attached to a 1-motive to generalize the conjugate p -adic uniformization of Iovita–Morrow–Zaharescu to arbitrary p -adic formal semi-abelian schemes or p -divisible groups over the ring of integers in a p -adic field. This mirrors a mixed Hodge theory construction of t...

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Bibliographic Details
Published inMathematische Zeitschrift Vol. 307; no. 3
Main Authors Howe, Sean, Morrow, Jackson S., Wear, Peter
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2024
Springer Nature B.V
Subjects
Conjugates
Mathematics
Mathematics and Statistics
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Summary:We use the p -divisible group attached to a 1-motive to generalize the conjugate p -adic uniformization of Iovita–Morrow–Zaharescu to arbitrary p -adic formal semi-abelian schemes or p -divisible groups over the ring of integers in a p -adic field. This mirrors a mixed Hodge theory construction of the inverse uniformization map for complex semi-abelian varieties.
ISSN:0025-5874
1432-1823
DOI:10.1007/s00209-024-03523-7