Geometry of the Extended Stokes Set

Student: Artemov Nikita

Educational Programme: Mathematics (Master)

Final Grade: 10

Year of Graduation: 2017

The Stokes sets play an important role in the study of the asymptotics of exponential integrals depending on parameters. These are sets of such parameters for which several critical points with identical real parts of critical values appear at the phase function. In this work we describe the complete extended Stokes sets for the singularities $ A_4, D_4 ^ -, D_4 ^ + $ using geometric considerations.

Full text (added June 4, 2017)

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