On the rationality and continuity of logarithmic growth filtration of solutions of p-adic differential equations

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• 作者：Shun Ohkubo ^{shun.ohkubo@gmail.com}
• 关键词：p-adic differential equations ; Logarithmic growth
• 刊名：Advances in Mathematics
• 出版年：2017
• 出版时间：21 February 2017
• 年：2017
• 卷：308
• 期：Complete
• 页码：83-120
• 全文大小：603 K
• 卷排序：308

文摘

We study the asymptotic behavior of solutions of Frobenius equations defined over the ring of overconvergent series. As an application, we prove Chiarellotto–Tsuzuki's conjecture on the rationality and right continuity of Dwork's logarithmic growth filtrations associated to ordinary linear p-adic differential equations with Frobenius structures.