Bibliography

Below is a curated selection of OSCAR-related publications. For a more comprehensive list, you may also visit zbMATH.

If you are aware of an important work that should be included, please refer to the Contributing Publications section for details.

• Geometric approach to the modular isomorphism problem: groups of order 64
  Leo Margolis, Taro Sakurai • Preprint , March , 2026
  Preprint
• Computing the Zariski closure of a finitely generated matrix group
  Willem A. de Graaf • Preprint , May , 2025
  Preprint
• Computations in equivariant Gromov-Witten theory of GKM spaces
  Daniel Holmes, Giosuè Muratore • Preprint , September , 2025
  Preprint
• Finite groups of symplectic birational transformations of IHS manifolds of OG10 type
  Lisa Marquand, Stevell Muller • Forum of Mathematics, Sigma , 13 , July , 2025
  Journal Preprint
• FTheoryTools Advancing Computational Capabilities for F-Theory Research
  Martin Bies, Miķelis E. Miķelsons, Andrew P. Turner • Fortschritte der Physik , January , 2026
  Journal Preprint
• On birational automorphisms of double EPW-cubes
  Simone Billi, Stevell Muller, Tomasz Wawak • Mathematische Nachrichten , 298 , May , 2025
  Journal Preprint
• K3 surfaces of any Artin-Mazur height over F5 and F7 via Quasi-F-split singularities and gpu acceleration
  Ryan Batubara, Jack J. Garzella, Alex Pan • Preprint , February , 2025
  Preprint
• Classification of symplectic birational involutions of manifolds of OG10 type
  Lisa Marquand, Stevell Muller • Mathematische Zeitschrift , 309 , February , 2025
  Journal Preprint
• Automorphisms of Nikulin-type orbifolds
  Simon Brandhorst, Grégoire Menet, Stevell Muller • Preprint , November , 2024
  Preprint
• Computing the center of a fusion category
  Fabian Mäurer, Ulrich Thiel • Preprint , June , 2024
  Preprint
• Invariant Grassmannians and a K3 surface with an action of order 192*2
  Stevell Muller • Journal of Computational Algebra , 10 , June , 2024
  Journal Preprint
• An arithmetic count of osculating lines
  Giosuè Muratore • New York Journal of Mathematics , 30 , November , 2024
  Journal Preprint
• Algebraic and geometric computations in OSCAR
  Mara Belotti, Michael Joswig, Chiara Meroni, Victoria Schleis, Johannes Schmitt • SIAM , Vol. 56 , September , 2023
  Journal
• Computations of Gromov-Witten invariants of toric varieties
  Giosuè Muratore • Journal of Symbolic Computation , 125 , April , 2024
  Journal Preprint
• On $\mathbb{Q}$-factorial terminalizations of symplectic linear quotient singularities
  Johannes Schmitt • PhD Thesis , July , 2023
  Journal
• Some thoughts and experiments on Bergman's compact amalgamation problem
  Michael Joswig, Mario Kummer, Andreas Thom, Claudia He Yun • Preprint , April , 2023
  Preprint
• Toric Geometry in OSCAR
  Martin Bies, Lars Kastner • Preprint , March , 2023
  Preprint
• Brill-Noether-general limit root bundles: Absence of vector-like exotics in F-theory Standard Models
  Martin Bies, Mirjam Cvetič, Ron Donagi, Marielle Ong • Journal of High Energy Physics , Vol. 11 , 2022
  Journal Preprint
• Computing Galois Groups of Ehrhart Polynomials in OSCAR
  Claus Fieker, Tommy Hofmann, Michael Joswig • Séminaire Lotharingien de Combinatoire , 86B , 2022
  Journal
• Introduction to Toric Geometry
  Simon Telen • Preprint , March , 2022
  Preprint
• Exact semidefinite programming bounds for packing problems
  Maria Dostert, David de Laat, Philippe Moustrou • SIAM , Vol. 31 , February , 2021
  Journal Preprint