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2 votes
1 answer
435 views

Explicit semi-stable theorem for elliptic curves over $p$-adic fields

In this paper of Maja Volkov, the authur metions a number called "défaut de semi-stabilité" on page 9. It is defined as $\text{dst}(E)=\frac{12}{\text{pgcd} (12,v_p(\Delta_E))}$ where $E$ is ...
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3 votes
1 answer
455 views

References for the early history of Fontaine's tilting construction

Scholze attributes the tilting construction for perfectoid rings to Fontaine, who calls it "a classical construction in $p$-adic Hodge theory". Would anyone happen to know an early reference where ...
Kim's user avatar
  • 4,164
11 votes
1 answer
1k views

Reference request: Newton above Hodge

Let $K$ be a p-adic field, and let $\mathcal{O}$ be the ring of integers inside $K$ with residue field $k$. Let $\mathcal{X}$ be a smooth proper formal scheme over $\mathcal{O}$ (with topology given ...
S. Li's user avatar
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