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Results tagged with neron-models
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user 5498
8
votes
Accepted
Neron model: can number of components decrease after based change?
Yes, there is such a result for Neron models of abelian varieties with semiabelian (aka semistable) reduction: "the number of components of the special fiber cannot decrease after base change". This i …
- 5,019
5
votes
Do abelian varieties have Neron models over arbitrary valuation rings?
As a partial answer to your question, let me sketch a proof of the following result found in 2015 in collaboration with David Holmes.
Proposition. For a valuation ring $V$, every abelian $V$-scheme $ …
- 5,019