Degree of Irregularity and Regular Formal Modules in Local Fields

Рассматривается понятие иррегулярности формальных модулей в одномерных локальных полях. Получена связь иррегулярности всех неразветвленных расширений M/L с индексом ветвления e L/K для достаточно широкого класса формальных групп. Вводится понятие s-иррегулярности для натуральных s (обобщение понятия иррегулярности на случай корней [π s ]), и для него доказываются аналогичные критерии иррегулярности для случая обобщенных и относительных формальных модулей Любина -Тейта.

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Higher Criteria for the Regularity of a One-Dimensional Local Field

Востоков

Pital

Polyakov

2022

Vestnik St.Petersb. Univ.Math.

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Degree of Irregularity and Regular Formal Modules in Local Fields

Cited by 1 publication

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Higher Criteria for the Regularity of a One-Dimensional Local Field

Higher Criteria for the Regularity of a One-Dimensional Local Field

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