Heat Equations in a Nonholomic Frame |
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| Authors: | V M Buchstaber D V Leykin |
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| Institution: | (1) V. A. Steklov Mathematical institute, Russian Academy of Sciences, Russia;(2) Institute of Magnetism, National Academy of Sciences of Ukraine, Ukraine |
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| Abstract: | A system of heat equations in a nonholonomic frame is considered. Solutions of the system are constructed in the form of general sigma functions of Abelian tori. As a corollary, we solve the problem (of general interest) to describe the generators of the ring of differential operators annihilating the sigma functions of families of plane algebraic curves. |
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| Keywords: | nonholonomic frame heat equations sigma and theta functions in several variables discriminant varieties |
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