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thesis.html
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<!DOCTYPE html>
<html lang="en">
<head>
<title>Victoria Schleis</title>
<meta charset="utf-8">
<meta name="viewport" content="width=device-width, initial-scale=1">
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</head>
<body>
<header class="page-header" id="headerbackground">
<div class="container py-4">
<div class="row">
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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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</header>
<nav class="navbar navbar-expand navbar-dark bg-dark">
<div class="container">
<ul class="navbar-nav ml-2 mr-auto">
<li class="nav-item"><a class="nav-link" href="./index.html">Home</a></li>
<li class="nav-item"><a class="nav-link" href="./research.html">Publications</a></li>
<li class="nav-item"><a class="nav-link" href="./code.html">Code</a></li>
<li class="nav-item"><a class="nav-link" href="./talks.html">Talks</a></li>
<li class="nav-item"><a class="nav-link" href="./activities.html">Travel</a></li>
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<p>
<h4> Code repository for my PhD thesis </h4>
Below, you can download all code given in my thesis. All OSCAR code was written and tested for Version 1.0.0. I will try to maintain the code for future versions, if you encounter any bugs, please let me know.
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<h4> Strong maps, morphisms of matroids and matroid polytopes </h4>
OSCAR code, as documented in Appendix B.1 and B.2.
<ul> <li><a href="https://victoriaschleis.github.io/thesis_code/morphisms_of_matroids.jl" download> morphisms_of_matroids.jl</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> -->
</ul>
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<h4> Plücker relations </h4>
<ul> <li> For the special subcase of linear degenerate Plücker relations, Macaulay2 code as documented in Appendix B.3 can be found at Alessio's GitHub <a href="https://github.com/AlessioBorzi/Linear-Degenerate-Incidence-Plucker-relations-on-M2">here</a>.</li>
<li> For arbitrary quiver Plücker relations, there is OSCAR code, as documented in Appendix B.4:
<a href="https://victoriaschleis.github.io/thesis_code/quiver_pluecker.jl" download> quiver_pluecker.jl</a></li>
<li> gfan input for Example 9.12
<a href="https://victoriaschleis.github.io/thesis_code/example_n4_nonrealizable" download> example_n4_nonrealizable</a></li>
<li> All primary components of Example 9.12, before and after gfan processing, as a zip file:
<a href="https://victoriaschleis.github.io/thesis_code/primary_comp.zip" download> primary_comp.zip</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> -->
</ul>
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<div class="container my-4">
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<h4> Quiver polytopes </h4>
<ul> <li> A full log of the verification of table for Observation 11.6 can be found here:
<a href="https://victoriaschleis.github.io/thesis_code/log_quiver_polytopes.jl" download> log_quiver_polytopes.jl</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> -->
</ul>
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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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