De Rham prismatic crystals over OK
We study de Rham prismatic crystals on . We show that a de Rham crystal is controlled by a sequence of matrices { A m , 1 } m ≥ 0 with A 0 , 1 “nilpotent”. Using this, we prove that the natural functor from the category of de Rham crystals over to the category of nearly de Rham representations is fu...
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| Veröffentlicht in: | Mathematische Zeitschrift 2023-12, Vol.305 (4) |
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| container_title | Mathematische Zeitschrift |
| container_volume | 305 |
| creator | Liu, Zeyu |
| description | We study de Rham prismatic crystals on
. We show that a de Rham crystal is controlled by a sequence of matrices
{
A
m
,
1
}
m
≥
0
with
A
0
,
1
“nilpotent”. Using this, we prove that the natural functor from the category of de Rham crystals over
to the category of nearly de Rham representations is fully faithful. The key ingredient is a Sen style decompletion theorem for
B
dR
+
-representations of
G
K
. |
| doi_str_mv | 10.1007/s00209-023-03376-6 |
| format | Article |
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. We show that a de Rham crystal is controlled by a sequence of matrices
{
A
m
,
1
}
m
≥
0
with
A
0
,
1
“nilpotent”. Using this, we prove that the natural functor from the category of de Rham crystals over
to the category of nearly de Rham representations is fully faithful. The key ingredient is a Sen style decompletion theorem for
B
dR
+
-representations of
G
K
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. We show that a de Rham crystal is controlled by a sequence of matrices
{
A
m
,
1
}
m
≥
0
with
A
0
,
1
“nilpotent”. Using this, we prove that the natural functor from the category of de Rham crystals over
to the category of nearly de Rham representations is fully faithful. The key ingredient is a Sen style decompletion theorem for
B
dR
+
-representations of
G
K
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. We show that a de Rham crystal is controlled by a sequence of matrices
{
A
m
,
1
}
m
≥
0
with
A
0
,
1
“nilpotent”. Using this, we prove that the natural functor from the category of de Rham crystals over
to the category of nearly de Rham representations is fully faithful. The key ingredient is a Sen style decompletion theorem for
B
dR
+
-representations of
G
K
.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/s00209-023-03376-6</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0025-5874 |
| ispartof | Mathematische Zeitschrift, 2023-12, Vol.305 (4) |
| issn | 0025-5874 1432-1823 |
| language | eng |
| recordid | cdi_proquest_journals_2881777226 |
| source | SpringerLink Journals |
| subjects | Crystals Mathematics Mathematics and Statistics Representations |
| title | De Rham prismatic crystals over OK |
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