216ef48f63
genus2reduction is a program for computing the conductor and reduction types for a genus 2 hyperelliptic curve. As an example of genus2reduction's functionality, let C be a proper smooth curve of genus 2 defined by a hyperelliptic equation y^2+Q(x)y=P(x), where P(x) and Q(x) are polynomials with rational coefficients such that deg(Q(x))<4, deg(P(x))<7. Let J(C) be the Jacobian of C, let X be the minimal regular model of C over the ring of integers Z. This program determines the reduction of C at any prime number p (that is the special fiber X_p of X over p), and the exponent f of the conductor of J(C) at p
13 lines
616 B
Plaintext
13 lines
616 B
Plaintext
genus2reduction is a program for computing the conductor and reduction types
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for a genus 2 hyperelliptic curve.
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As an example of genus2reduction's functionality, let C be a proper smooth curve
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of genus 2 defined by a hyperelliptic equation y^2+Q(x)y=P(x), where P(x)
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and Q(x) are polynomials with rational coefficients such that deg(Q(x))<4,
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deg(P(x))<7. Let J(C) be the Jacobian of C, let X be the minimal regular model
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of C over the ring of integers Z.
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This program determines the reduction of C at any prime number p
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(that is the special fiber X_p of X over p), and the exponent f of
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the conductor of J(C) at p
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