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.
|Number of pages||14|
|Journal||Functional Analysis and its Applications|
|Publication status||Published - Apr 2004|
- Discriminant varieties
- Heat equations
- Nonholonomic frame
- Sigma and theta functions in several variables