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Formulas for Differentiating Hyperelliptic Functions with Respect to Parameters and Periods
Informatics and Automation, Geometry, Topology, and Mathematical Physics, Tome 325 (2024), pp. 67-80 Cet article a éte moissonné depuis la source Math-Net.Ru

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By explicitly solving the problem of differentiating hyperelliptic functions with respect to parameters, we derive explicit formulas for the Christoffel symbols of the Gauss–Manin connection in the universal bundle of hyperelliptic curves; as a consequence, we obtain a solution to the problem of differentiating hyperelliptic functions with respect to periods.
Keywords: sigma functions, heat equations, universal bundle of hyperelliptic curves, problem of differentiating hyperelliptic functions.
Mots-clés : Gauss–Manin connection 
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V. M. Buchstaber; E. Yu. Bunkova. Formulas for Differentiating Hyperelliptic Functions with Respect to Parameters and Periods. Informatics and Automation, Geometry, Topology, and Mathematical Physics, Tome 325 (2024), pp. 67-80. http://geodesic.mathdoc.fr/item/TRSPY_2024_325_a2/

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