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IMT
  • Member for 3 years, 11 months
  • Last seen more than 2 years ago
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revised
Stabilizer in $G(\mathbb{Z})$ of point in fundamental domain $G(\mathbb{Z}) \backslash G(\mathbb{R}) / K$
Added finitness explanation
suggested
Approve
Stabilizer in $G(\mathbb{Z})$ of point in fundamental domain $G(\mathbb{Z}) \backslash G(\mathbb{R}) / K$
awarded
 Supporter
comment
Given a point $P$ on a genus-$1$ curve over $\mathbb{Q}_p$, is there an $R$ such that $2 \mid [P - R]$ and $x(\overline{P}) \neq x(\overline{R})$?
@Nulhomologous Yes, that's exactly what I mean!
awarded
 Informed
comment
Given a point $P$ on a genus-$1$ curve over $\mathbb{Q}_p$, is there an $R$ such that $2 \mid [P - R]$ and $x(\overline{P}) \neq x(\overline{R})$?
@ChrisWuthrich Thanks for pointing that out! I guess I was really interested in what happens for sufficiently large primes $p$, so I've edited the question to reflect that.
awarded
 Editor
revised
Given a point $P$ on a genus-$1$ curve over $\mathbb{Q}_p$, is there an $R$ such that $2 \mid [P - R]$ and $x(\overline{P}) \neq x(\overline{R})$?
Edited question to restrict to large primes
awarded
 Student
asked
Given a point $P$ on a genus-$1$ curve over $\mathbb{Q}_p$, is there an $R$ such that $2 \mid [P - R]$ and $x(\overline{P}) \neq x(\overline{R})$?