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arXiv · 1808.10155

Inversion of modulo p reduction and a partial descent from characteristic 0 to positive characteristic

Shihoko Ishii
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Abstract

In this paper we focus on pairs consisting of the affine $N$-space and multiideals with a positive exponent. We introduce a method "lifting to characteristic 0" which is a kind of the inversion of "modulo p reduction". By making use of it, we prove that Mustata-Nakamura's conjecture and some uniform bound of divisors computing log canonical thresholds descend from characteristic 0 to certain classes of pairs in positive characteristic. We also pose a problem whose affirmative answer gives the descent of the statements to the whole set of pairs in positive characteristic.

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Shihoko Ishii. 2018-08-30. Inversion of modulo p reduction and a partial descent from characteristic 0 to positive characteristic. https://arxiv.org/abs/1808.10155

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