Аналог неравенства Хиодо для глубины ветвления в расширениях степени p2

Translated title of the contribution: ANALOGUE OF THE HYODO INEQUALITY FOR THE RAMIFICATION DEPTH IN DEGREE P 2 EXTENSIONS

Сергей Владимирович Востоков, Николай Викторович Хаустов, Игорь Борисович Жуков, Ольга Юрьевна Иванова, Софья Сергеевна Афанасьева

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper we study the ramification in extensions of complete discrete valuation fields. In the perfect residue field case, there is a classical theory of ramification groups due to J. P. Serre. A. Chiodo introduced the notion of ramification depth, which is close to the classical notion of different. He also obtained an inequality, which pointed out a fundamental relation between the ramification depth in a cyclotomic extension of degree p 2 with the ramification depth in a subextension of degree p. In the present paper we focus on the case of the degree p 2 extension, which is a composit field of two degree p extensions.
Translated title of the contributionANALOGUE OF THE HYODO INEQUALITY FOR THE RAMIFICATION DEPTH IN DEGREE P 2 EXTENSIONS
Original languageRussian
Pages (from-to)189-200
JournalVestnik St. Petersburg University: Mathematics
Volume5(63)
Issue number2
StatePublished - 2018

Keywords

  • CHIODO INEQUALITY
  • RAMIfiCATION DEPTH

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