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Funktsional'nyi Analiz i ego Prilozheniya, 2004, Volume 38, Issue 2, Pages 12–27
DOI: https://doi.org/10.4213/faa104 (Mi faa104) 		 
This article is cited in 24 scientific papers (total in 24 papers)

Heat Equations in a Nonholonomic Frame

V. M. Buchstabera, D. V. Leikinb

a Steklov Mathematical Institute, Russian Academy of Sciences
b Institute of Magnetism, National Academy of Sciences of Ukraine
Full-text PDF (276 kB) Citations (24)
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DOI: https://doi.org/10.4213/faa104
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.
Keywords: nonholonomic frame, heat equations, sigma and theta functions in several variables, discriminant varieties.
Received: 09.02.2004
English version:
Functional Analysis and Its Applications, 2004, Volume 38, Issue 2, Pages 88–101
DOI: https://doi.org/10.1023/B:FAIA.0000034039.92913.8a
Bibliographic databases:
Document Type: Article
UDC: 517.958+515.178.2
Language: Russian
Citation: V. M. Buchstaber, D. V. Leikin, “Heat Equations in a Nonholonomic Frame”, Funktsional. Anal. i Prilozhen., 38:2 (2004), 12–27; Funct. Anal. Appl., 38:2 (2004), 88–101
Citation in format AMSBIB
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    • This publication is cited in the following 24 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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