Take Our Quiz About Rieman-hilbert Correspondance

10 Questions | Total Attempts: 100

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Take Our Quiz About Rieman-hilbert Correspondance - Quiz

Everybody knows that mathematics have lots of disciplines and for those who've never been good with math a name like Rieman-Hilbert Correspondance will certainly intimidate them. Our quiz will test your knowledge about this theory. Try it ans see how much you truly know about it.


Questions and Answers
  • 1. 
    What's the Riemann surface?
    • A. 

      It's a one-dimensional complex manifold.

    • B. 

      It's a two-dimensional complex manifold.

    • C. 

      It's a three-dimensional complex manifold.

    • D. 

      It's a four-dimensional complex manifold.

  • 2. 
    What's a fundamental group?
    • A. 

      It's a mathematical group associated to two precise given pointed topological space.

    • B. 

      It's a mathematical group associated to three precise given pointed topological space.

    • C. 

      It's a mathematical group associated to any given pointed topological space.

    • D. 

      It's a mathematical group associated to any given pointed topological shape.

  • 3. 
    What's a complex manifold?
    • A. 

      It's a manifold with an atlas of charts to the open unit disk in C^c, such that the transition maps are holomorphic

    • B. 

      It's a manifold with an atlas of charts to the open unit disk in C^x, such that the transition maps are holomorphic

    • C. 

      It's a manifold with an atlas of charts to the open unit disk in C^n, such that the transition maps are polymorphic

    • D. 

      It's a manifold with an atlas of charts to the open unit disk in C^n, such that the transition maps are holomorphic

  • 4. 
    What's a D-module?
    • A. 

      It's a module over a ring C of differential operators.

    • B. 

      It's a module over a ring D of differential operators.

    • C. 

      It's a module over a ring M of differential operators.

    • D. 

      It's a module over a ring A of differential operators.

  • 5. 
    What's the other term for local systems?
    • A. 

      Local coefficients

    • B. 

      Local theorems

    • C. 

      Local axe

    • D. 

      Local measure

  • 6. 
    How can one define the Riemann-Hilbert problems?
    • A. 

      As being a class of problems that arise in the study of sequences.

    • B. 

      As being a class of problems that arise in the study of equations.

    • C. 

      As being a class of problems that arise in the study of differential equation in the complex plane.

    • D. 

      As being a class of problems that arise in the study of differential equation in the complex curve.

  • 7. 
    What does the condition of regular singularities mean?
    • A. 

      That locally constant section of the bundle have moderate growth at point Y

    • B. 

      That locally constant section of the bundle have moderate growth at points of Y-X

    • C. 

      That locally constant section of the bundle have moderate growth at points of Y+X

    • D. 

      That locally constant section of the bundle have moderate growth at point X

  • 8. 
    What happens when x is compact?
    • A. 

      The condition of growing singularities is vacuous.

    • B. 

      The condition of constant singularities is vacuous.

    • C. 

      The condition of regular singularities is vacuous.

    • D. 

      The condition of degrading singularities is vacuous.

  • 9. 
    How many isomorphism classes can be found in the Riemann-Hilbert correspondence?
    • A. 

      3

    • B. 

      2

    • C. 

      4

    • D. 

      5

  • 10. 
    What's one of the isomorphism classes found?
    • A. 

      Intersection cosmology

    • B. 

      Intersection cohomology

    • C. 

      Intersection mycology

    • D. 

      Intersections

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