Geodesic
Heat Equations in a Nonholonomic Frame
Funkcionalʹnyj analiz i ego priloženiâ, Tome 38 (2004) no. 2, pp. 12-27

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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.
Keywords: nonholonomic frame, heat equations, sigma and theta functions in several variables, discriminant varieties. 
@article{FAA_2004_38_2_a1,
     author = {V. M. Buchstaber and D. V. Leikin},
     title = {Heat {Equations} in a {Nonholonomic} {Frame}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {12--27},
     publisher = {mathdoc},
     volume = {38},
     number = {2},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2004_38_2_a1/}
}
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V. M. Buchstaber; D. V. Leikin. Heat Equations in a Nonholonomic Frame. Funkcionalʹnyj analiz i ego priloženiâ, Tome 38 (2004) no. 2, pp. 12-27. http://geodesic.mathdoc.fr/item/FAA_2004_38_2_a1/