monodromy sentence in Hindi
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- In this case the monodromy group is infinite cyclic and the covering space is the universal cover of the punctured complex plane.
- The monodromy of this equation defines parallel transport for the connection, a notion introduced in this context by Levi-Civita.
- The Deligne-Simpson Problem, an algebraic problem associated with monodromy matrices, is named after Carlos Simpson and Pierre Deligne.
- Collaborators on the SGA projects also included Michael Artin ( �tale cohomology ) and Nick Katz ( monodromy theory and Lefschetz pencils ).
- The "'disorder operator "'is an discontinuity of the ordinary order operators or a monodromy for their values.
- Scholze's subsequent PhD-thesis on perfectoid spaces yields the solution to a special case of the weight-monodromy conjecture.
- The monodromy group of the equation is the image of this map, i . e . the group generated by the monodromy matrices.
- The monodromy group of the equation is the image of this map, i . e . the group generated by the monodromy matrices.
- For example, an affine structure on the torus is complete if and only if the monodromy map has its image inside the translations.
- A much more elementary theorem than the Riemann Hilbert correspondence states that flat connections on holomorphic vector bundles are determined up to isomorphism by their monodromy.
- A classical result is the Picard Lefschetz formula, detailing how the monodromy round the singular fiber acts on the vanishing cycles, by a shear mapping.
- The flag variety is a quotient of a Lie group by a parabolic subgroup, and the monodromy group is an arithmetic subgroup of the Lie group.
- For generic monodromy data, the answer to Hilbert's twenty-first problem is'yes'- as was first proved by Josip Plemelj.
- This is in contrast to transcendental and logarithmic branch points, that is, points at which a multiple-valued function has nontrivial monodromy and an essential singularity.
- In terms of the inverse global analytic function " ? " & minus; 1, branch points are those points around which there is nontrivial monodromy.
- Another place in which tannakian categories have been used is in connection with the Grothendieck Katz p-curvature conjecture; in other words, in bounding monodromy groups.
- In complex analysis, the "'monodromy theorem "'is an important result about analytic continuation of a complex-analytic function to a larger set.
- Recently important connections between this theory and complex dynamics, particularly the notion of iterated monodromy groups, have been uncovered in the work of Volodymyr Nekrashevych . and others.
- Since the functions " ce z " are defined on the whole affine line " A " 1, the monodromy of this flat connection is trivial.
- He also worked with hypergeometric differential equations in 1857 using complex analytical methods and presented the solutions through the behavior of closed paths about singularities ( described by the monodromy matrix ).
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