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Results tagged with arithmetic-geometry
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user 116818
Diophantine equations, rational points, abelian varieties, Arakelov theory, Iwasawa theory.
9
votes
0
answers
271
views
Do isomorphisms spread out under suitable assumptions?
I'm still trying to wrap my head around the "pathological" algebraic space $\mathbb{A}^1/\mathbb{Z}$; see Questions about the algebraic space $\mathbb{A}^1/\mathbb{Z}$ and Why is this not an algebraic …
- 161
3
votes
0
answers
255
views
What are the easiest counterexamples to Serre-Lang over non-algebraically closed fields?
Let $k$ be a field of characteristic zero. Let $A$ be an abelian variety over $k$. Let $X\to A$ be a finite etale morphism with $X$ a connected (smooth projective) variety over $k$.
Then, choosing a …
- 161