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The conjugate uniformization via 1-motives
by
Howe, Sean
, Morrow, Jackson S.
, Wear, Peter
in
Mathematics
/ Mathematics and Statistics
2024
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The conjugate uniformization via 1-motives
by
Howe, Sean
, Morrow, Jackson S.
, Wear, Peter
in
Mathematics
/ Mathematics and Statistics
2024
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Journal Article
The conjugate uniformization via 1-motives
2024
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Overview
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.
Publisher
Springer Berlin Heidelberg
Subject
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