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Aurora
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f-pure threshold of an f-pure ideal

By enter link description here an elliptic curve is $F$-pure if and only if the $F$-pure threshold of its defining ideal is $1$. Whether there exists an $F$-pure local ring $R=A/\mathfrak{a}$ such that $\text{fpt}(\mathfrak{a})\neq 1$?

Aurora
  • 591
  • 3
  • 12