Heat equations in a nonholomic frame

DOI10.1023/B:FAIA.0000034039.92913.8azbMath1069.47019MaRDI QIDQ2486695

Victor M. Buchstaber, Dmitry Leykin

Publication date: 5 August 2005

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

heat equationsdiscriminant varietiesnonholonomic framesigma and theta functions in several variables

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) General theory of partial differential operators (47F05) Equations involving linear operators, with operator unknowns (47A62) Discriminantal varieties and configuration spaces in algebraic topology (55R80) Theta functions and curves; Schottky problem (14H42) Linear operators in algebras (47C05)

Related Items (15)

On regularization of second kind integrals ⋮ ON DEGENERATE SIGMA-FUNCTIONS IN GENUS 2 ⋮ Geometric differential equations on bundles of Jacobians of curves of genus 1 and 2 ⋮ Hyperelliptic sigma functions and Adler-Moser polynomials ⋮ Addition of divisors on hyperelliptic curves via interpolation polynomials ⋮ Solution of the Jacobi inversion problem on non-hyperelliptic curves ⋮ The Mumford dynamical system and hyperelliptic Kleinian functions ⋮ Explicit formulas for differentiation of hyperelliptic functions ⋮ Lie algebras of heat operators in a nonholonomic frame ⋮ A uniqueness theorem for the two-dimensional sigma function ⋮ Аналитические и теоретико-числовые свойства двумерных сигма-функций ⋮ Polynomial dynamical systems and the Korteweg-de Vries equation ⋮ Sigma functions and Lie algebras of Schrödinger operators ⋮ Arithmetical Power Series Expansion of the Sigma Function for a Plane Curve ⋮ Relationships between hyperelliptic functions of genus 2 and elliptic functions

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