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bookchapter.html
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<!DOCTYPE html>
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<title>Victoria Schleis</title>
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<h1 class="mb-1">Victoria Schleis</h1>
<p class="mb-0"><font color="#5A5A5A">Postdoctoral Reseach Associate in Mathematics at Durham University</font></p>
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<p>
<h4> Code and materials for the OSCAR bookchapter </h4>
Below, you can find the code and some additional materials used to obtain the results in the bookchapter. For ease of access, results of computations longer than 45 minutes are also provided here. For the final version, we intend to provide a Jupyter notebook guiding through the computations here. This is currently under development.
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<h4> j-Invariant </h4>
OSCAR method to compute the j-invariant, based on the algorithm in Singular.
<ul> <li><a href="https://victoriaschleis.github.io/bookchapter_supmat/j_invariant.jl" download> j-Invariant</a></li>
<!-- <li><a href="https://victoriaschleis.github.io/bookchapter_supmat/bookchapter_supmat/YZ-Projection.zip" download> Newton subdivisions of the yz-projection (zip-file)</a></li> -->
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<h4> Elimination and leading term computations </h4>
Elimination computations were run in both Singular (Version 4.2.1-dev) and OSCAR (Version 0.11.2). OSCAR computations were run as described in the article, Singular source code for additional computations can be found here.
<ul>
<li> Singular code for additional eliminations</li>
<li><a href="https://victoriaschleis.github.io/bookchapter_supmat/cross_verification_results.zip" download> Results of cross-verification elimination computations (zip-file)</a></li>
<li><a href="https://victoriaschleis.github.io/bookchapter_supmat/leading_terms.jl" download> OSCAR code for computing leading terms</a></li>
<li><a href="https://victoriaschleis.github.io/bookchapter_supmat/XZ-Projection.zip" download> Newton subdivisions of the xz-projection (zip-file)</a></li>
<!-- <li><a href="https://victoriaschleis.github.io/bookchapter_supmat/bookchapter_supmat/YZ-Projection.zip" download> Newton subdivisions of the yz-projection (zip-file)</a></li> -->
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<h4> Groebner fan computations </h4>
At the time of first computation, no Groebner fan computations existed in OSCAR. Thus, we provide gfan code to obtain the Groebner cones out of the computed coefficients. This supplementary material is not necessary to obtain the results in the article.
<ul>
<li><a href="/" download> Singular code for additional eliminations</a></li>
<li><a href="/" download> Complete results of elimination computations (zip-file)</a></li>
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