4
votes
Non-torsion points of Tate curves
What you are asking for does not exist, and there is no reason to expect it should.
The set of all points of the Tate curve, or another elliptic curve, over a local field, or its algebraic closure, is ...
4
votes
Accepted
Isocrystal with no $F$-structure
The connection $D - \dfrac{a dx}{x}$ on the trivial line bundle on $\mathbb G_m$ has formal solutions proportional to $x^a$ which is convergent for $a \in \mathbb Z_p$. Hence the connection is ...
4
votes
Accepted
Equivalence between vector bundles with integrable connections to isocrystals
Let me briefly expand my comment into an answer. As Satan's Minion writes in the comments, this follows from (rigid) GAGA, but I think this fact is not entirely obvious. GAGA gives that ...
2
votes
"General position" on $\mathbb{P}^1\times\mathbb{P}^1$
Five points are in a general position if
pairs of points do not lie on the same ruling;
quadruples of points do not lie on a conic.
For six points you get an extra condition
six points do not lie ...
1
vote
Frobenius action on the trivial connection
Since both connections are defined on the same domain, I managed to confuse myself with the definition of the pullback connection.
The pullback connection extends via the Leibniz rule on a local base.
...
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