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Results tagged with neron-models
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user 127408
10
votes
2
answers
606
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Do abelian varieties have Neron models over arbitrary valuation rings?
Let $\mathcal{O}_K$ be a valuation ring with fraction field $K$. Let $A$ be an abelian variety over $K$. Does $A$ have a Neron model?
If $\mathcal{O}_K$ is a discrete valuation ring, then this is pro …
- 233
6
votes
0
answers
123
views
Good reduction of abelian varieties over valuation rings via coverings
Let $\mathcal{O}_K$ be a valuation ring with fraction field $K$, and let $A$ be an abelian variety over $K$.
Suppose that there is a smooth proper scheme $\mathcal{X}$ over $\mathcal{O}_K$ whose gene …
- 233