Complete hyperelliptic integrals of the first kind and their non - oscillation Lubomir Gavrilov
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چکیده
Let P (x) be a real polynomial of degree 2g + 1, H = y2 + P (x) and δ(h) be an oval contained in the level set {H = h}. We study complete Abelian integrals of the form
منابع مشابه
Periods of hyperelliptic integrals expressed in terms of theta-constants by means of Thomae formulae.
Expressions for the periods of first- and second-kind integrals on hyperelliptic curves are given in terms of theta-constants. They are derived with the help of Thomae's classical formulae and Picard-Fuchs equations for complete integrals as functions of the parameters of the curves. The example of genus 2 is considered in detail.
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تاریخ انتشار 2002