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Monodromy

UK
/ˈmɒnədrəmi/
US
/ˈmɑːnəˌdroʊmi/
ru

Translation of "monodromy" into Russian

monodromy
Noun
raiting
UK
/ˈmɒnədrəmi/
US
/ˈmɑːnəˌdroʊmi/
monodromy
monodromies pl
монодромия
The study of monodromy is important in the field of algebraic geometry.
Изучение монодромии важно в области алгебраической геометрии.

Definitions

monodromy
Noun
raiting
UK
/ˈmɒnədrəmi/
US
/ˈmɑːnəˌdroʊmi/
In mathematics, particularly in the field of complex analysis and algebraic geometry, monodromy refers to the behavior of multivalued functions as one analytically continues along paths in the complex plane, often associated with the study of covering spaces and the fundamental group.
The monodromy of the function was analyzed to understand how it behaves when encircling a branch point.
A homomorphism (the monodromy representation) from the fundamental group of a topological space into the automorphism group of a fiber, recording how the fiber is permuted when one travels around loops in the base.
The monodromy of the local system yields a representation of the punctured plane's fundamental group into GL(2,ℂ).
monodromy
Adjective
raiting
UK
/ˈmɒnədrəmi/
US
/ˈmɑːnəˌdroʊmi/
Relating to or describing monodromy or its associated structures.
The monodromy matrix encodes how the solutions transform after one period.

Idioms and phrases

monodromy group
The monodromy group of the function is highly complex.
группа мономии
Группа мономии функции чрезвычайно сложна.
monodromy matrix
The monodromy matrix helps in understanding the system's behavior.
матрица мономии
Матрица мономии помогает понять поведение системы.
monodromy representation
The monodromy representation is crucial for studying covering spaces.
представление мономии
Представление мономии важно для изучения покрывающих пространств.
monodromy theorem
The monodromy theorem provides insights into the analytic continuation.
теорема мономии
Теорема мономии дает представление о аналитическом продолжении.
monodromy problem
Solving the monodromy problem requires advanced mathematical techniques.
проблема мономии
Решение проблемы мономии требует использования сложных математических методов.