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词汇 hyperelliptic
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Examples of hyperelliptic


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There remains to say but a few words on the corresponding hyperelliptic case, for future use.
Filling area conjecture and ovalless real hyperelliptic surfaces.
Our first result, concerning the topological type of real hyperelliptic surfaces, can now be briefly stated as follows.
To overcome this difficulty, one could extend these solutions to larger amplitude solutions using numerical techniques or exact methods using hyperelliptic functions, and thereby avoid near self-intersections.
We end this section by showing, with a simple example, the kind of computations that we make in order to find the real part of a given hyperelliptic surface.
For hyperelliptic curves it is also fairly easy to visualize the adding of two reduced divisors.
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Many curves, for example hyperelliptic curves, are best presented abstractly, as ramified covers of the projective line.
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The allowable power "k" has to be determined by analysis of the possible pole at the point at infinity on the corresponding hyperelliptic curve.
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There are two types of hyperelliptic curves: real hyperelliptic curves and imaginary hyperelliptic curves which differ by the number of points at infinity.
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From this definition it follows that elliptic curves are hyperelliptic curves of genus 1.
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These varieties are subgroups of the divisor class group on a low genus hyperelliptic curve defined over a finite field.
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This article is about imaginary hyperelliptic curves, these are hyperelliptic curves with exactly 1 point at infinity.
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He obtained results for the case of hyperelliptic curve, and conjectured the further main points of the theory as applied to curves.
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But there is more, we can compute the order using the zeta-function on hyperelliptic curves.
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For example, there are explicit formulas for hyperelliptic curves of genus 2 and genus 3.
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If the genus of a hyperelliptic curve equals 1, we simply call the curve an elliptic curve.
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His research was focused on alegebra and its application to geometry, elliptic functions and hyperelliptic functions.
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Such equations require hyperelliptic functions and associated theta functions of genus 3 for their solution.
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