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I refer to this paper http://wstein.org/papers/shark/shark.pdf

At the top of page 24, we are dealing with the issue where the $L$-series does not vanish for the case where $p$ is good and ordinary. The inequality in the second line is justified using Kato's Theorem 7.3, which is stated on page 22 and has the assumption that $p$ is a semistable. Can anybody explain why we may use Kato's Theorem 7.3 even though it seems like $p$ is in different cases?

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  • $\begingroup$ "good" implies "semistable", so we are using a stronger hypothesis than the theorem we use, no ? $\endgroup$
    – Chris Wuthrich
    Commented Jul 29, 2014 at 8:05
  • $\begingroup$ Probably, that sort of question is best asked to the authors directly :) $\endgroup$
    – Chris Wuthrich
    Commented Jul 29, 2014 at 8:06

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