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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2009, Volume 266, Pages 5–32 (Mi tm1883)  
This article is cited in 6 scientific papers (total in 6 papers)

Heat Equations and Families of Two-Dimensional Sigma Functions

E. Yu. Bunkova, V. M. Buchstaber

Steklov Institute of Mathematics, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (376 kB) Citations (6)
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Abstract: In the framework of S. P. Novikov's program for boosting the effectiveness of theta-function formulas of finite-gap integration theory, a system of differential equations for the parameters of the sigma function in genus 2 is constructed. A counterpart of this system in genus 1 is equivalent to the Chazy equation. On the basis of the obtained results, a two-dimensional analog of the Frobenius–Stickelberger connection is defined and calculated.
Received in April 2009
English version:
Proceedings of the Steklov Institute of Mathematics, 2009, Volume 266, Pages 1–28
DOI: https://doi.org/10.1134/S0081543809030018
Bibliographic databases:
Document Type: Article
UDC: 515.178.2+517.958
Language: Russian
Citation: E. Yu. Bunkova, V. M. Buchstaber, “Heat Equations and Families of Two-Dimensional Sigma Functions”, Geometry, topology, and mathematical physics. II, Collected papers. Dedicated to Academician Sergei Petrovich Novikov on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 266, MAIK Nauka/Interperiodica, Moscow, 2009, 5–32; Proc. Steklov Inst. Math., 266 (2009), 1–28
Citation in format AMSBIB
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\paper Heat Equations and Families of Two-Dimensional Sigma Functions
\inbook Geometry, topology, and mathematical physics.~II
\bookinfo Collected papers. Dedicated to Academician Sergei Petrovich Novikov on the occasion of his 70th birthday
\serial Trudy Mat. Inst. Steklova
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\vol 266
\pages 5--32
\publ MAIK Nauka/Interperiodica
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    • This publication is cited in the following 6 articles:
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
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