Programs for the Jacobians of curves of genus 2
The following programs are implementations of
the algorithms described in my paper:
"Canonical local heights and multiplication
formulas for the Jacobians of curves of genus 2,"
Acta Arith. 149, 111-130, (2011).
These programs are written in C++ and require the libraries
GiNaC and
CLN.
The first program also requires the
Boost C++ Libraries.
- Height bounds for the Jacobians of curves of genus 2
(hbg2.tar.gz (16KB, last updated: 2014-09-16))
This program computes the Archimedean contribution of
height bounds for the Jacobians of curves of genus 2
defined over the rational numbers. The algorithm used in
the program is based on a naive implementation of global
optimization using interval analysis.
- Canonical heights on the Jacobians of curves of
genus 2 (chg2.tar.gz
(12KB, last updated: 2014-09-16))
This program computes canonical heights on the Jacobians of
curves of genus 2 defined over the rational numbers.
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