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What is OSCAR? (Claus Fieker, Michael Joswig)

Cornerstones

Commutative Algebra and Algebraic Geometry (Janko Böhm, Wolfram Decker, Frank-Olaf Schreyer)
Number Theory (Claus Fieker, Tommy Hofmann)
Group Theory (Max Horn, Claus Fieker)
Polyhedral Geometry (Taylor Brysiewicz, Michael Joswig)

Specialized Chapters

Algorithms for Gromov-Witten Invariants of Elliptic Curves (Janko Böhm, Firoozeh Dastur, Alain Hoffmann, Hannah Markwig, Ali Traore)
Toric Geometry (Martin Bies, Lars Kastner)
Algorithms for GIT-Fans of Affine Torus Actions (Janko Böhm, Thomas Breuer)
Elliptic Fibrations on Vinberg’s Most Algebraic K3 Surface (Simon Brandhorst, Matthias Zach)
An Atlas of Orthogonal Representations (Thomas Breuer, Gabriele Nebe, Richard Parker)
Gröbner Bases for Polynomial Ideals and Applications (Christian Eder, Rafael Mohr, Mohab Safey El Din)
Invariant Theory (Wolfram Decker, Lakshmi Ramesh, Johannes Schmitt)
Monomial Bases in Lie Theory (Xin Fang, Ghislain Fourier)
Matroids (Daniel Corey, Lukas Kühne, Benjamin Schröter)
Generic Root Counts of Tropically Transverse Systems (Isaac Holt, Yue Ren)
Faithful Tropicalization of Hyperelliptic Curves (Hannah Markwig, Lukas Ristau, Victoria Schleis)
Tropical Implicitization Revisited (Kemal Rose, Bernd Sturmfels, Simon Telen)
F-Theory Applications (Martin Bies, Andrew P. Turner)
Confirmable Workflows (Michael Joswig, Lars Kastner, Benjamin Lorenz)